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Finding the Third Proportional to 10,655.13 and 23,387.63

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Solution

The third proportional to 10,655.13 and 23,387.63 is: 51,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.13 : 23,387.63 = 23,387.63 : x
  2. Step 2: Convert to fraction form
    10,655.13/23,387.63 = 23,387.63/x
  3. Step 3: Cross multiply
    10,655.13x = 23,387.63 × 23,387.63
  4. Step 4: Simplify right side
    10,655.13x = 546,981,003.14
  5. Step 5: Solve for x
    x = 546,981,003.14/10,655.13
  6. Step 6: Final answer
    x = 51,335.02

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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.