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Finding the Third Proportional to 16,485.19 and 36,073.69

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Solution

The third proportional to 16,485.19 and 36,073.69 is: 78,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.19 : 36,073.69 = 36,073.69 : x
  2. Step 2: Convert to fraction form
    16,485.19/36,073.69 = 36,073.69/x
  3. Step 3: Cross multiply
    16,485.19x = 36,073.69 × 36,073.69
  4. Step 4: Simplify right side
    16,485.19x = 1,301,310,929.85
  5. Step 5: Solve for x
    x = 1,301,310,929.85/16,485.19
  6. Step 6: Final answer
    x = 78,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.