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Finding the Third Proportional to 10,337.63 and 23,581.13

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Solution

The third proportional to 10,337.63 and 23,581.13 is: 53,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.63 : 23,581.13 = 23,581.13 : x
  2. Step 2: Convert to fraction form
    10,337.63/23,581.13 = 23,581.13/x
  3. Step 3: Cross multiply
    10,337.63x = 23,581.13 × 23,581.13
  4. Step 4: Simplify right side
    10,337.63x = 556,069,456.27
  5. Step 5: Solve for x
    x = 556,069,456.27/10,337.63
  6. Step 6: Final answer
    x = 53,790.83

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.