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Finding the Third Proportional to 15,495.19 and 31,807.13

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Solution

The third proportional to 15,495.19 and 31,807.13 is: 65,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,495.19 : 31,807.13 = 31,807.13 : x
  2. Step 2: Convert to fraction form
    15,495.19/31,807.13 = 31,807.13/x
  3. Step 3: Cross multiply
    15,495.19x = 31,807.13 × 31,807.13
  4. Step 4: Simplify right side
    15,495.19x = 1,011,693,200.77
  5. Step 5: Solve for x
    x = 1,011,693,200.77/15,495.19
  6. Step 6: Final answer
    x = 65,290.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.