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Finding the Third Proportional to 16,998.19 and 36,916.17

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Solution

The third proportional to 16,998.19 and 36,916.17 is: 80,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,998.19 : 36,916.17 = 36,916.17 : x
  2. Step 2: Convert to fraction form
    16,998.19/36,916.17 = 36,916.17/x
  3. Step 3: Cross multiply
    16,998.19x = 36,916.17 × 36,916.17
  4. Step 4: Simplify right side
    16,998.19x = 1,362,803,745.90
  5. Step 5: Solve for x
    x = 1,362,803,745.90/16,998.19
  6. Step 6: Final answer
    x = 80,173.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.