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Finding the Third Proportional to 15,046.59 and 32,037.19

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Solution

The third proportional to 15,046.59 and 32,037.19 is: 68,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.59 : 32,037.19 = 32,037.19 : x
  2. Step 2: Convert to fraction form
    15,046.59/32,037.19 = 32,037.19/x
  3. Step 3: Cross multiply
    15,046.59x = 32,037.19 × 32,037.19
  4. Step 4: Simplify right side
    15,046.59x = 1,026,381,382.91
  5. Step 5: Solve for x
    x = 1,026,381,382.91/15,046.59
  6. Step 6: Final answer
    x = 68,213.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.