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Finding the Third Proportional to 16,224.19 and 34,872.19

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Solution

The third proportional to 16,224.19 and 34,872.19 is: 74,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.19 : 34,872.19 = 34,872.19 : x
  2. Step 2: Convert to fraction form
    16,224.19/34,872.19 = 34,872.19/x
  3. Step 3: Cross multiply
    16,224.19x = 34,872.19 × 34,872.19
  4. Step 4: Simplify right side
    16,224.19x = 1,216,069,461.04
  5. Step 5: Solve for x
    x = 1,216,069,461.04/16,224.19
  6. Step 6: Final answer
    x = 74,954.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.