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Finding the Third Proportional to 7,403.91 and 15,901.31

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Solution

The third proportional to 7,403.91 and 15,901.31 is: 34,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.91 : 15,901.31 = 15,901.31 : x
  2. Step 2: Convert to fraction form
    7,403.91/15,901.31 = 15,901.31/x
  3. Step 3: Cross multiply
    7,403.91x = 15,901.31 × 15,901.31
  4. Step 4: Simplify right side
    7,403.91x = 252,851,739.22
  5. Step 5: Solve for x
    x = 252,851,739.22/7,403.91
  6. Step 6: Final answer
    x = 34,151.13

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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.