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Finding the Third Proportional to 10,810.13 and 24,580.13

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Solution

The third proportional to 10,810.13 and 24,580.13 is: 55,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.13 : 24,580.13 = 24,580.13 : x
  2. Step 2: Convert to fraction form
    10,810.13/24,580.13 = 24,580.13/x
  3. Step 3: Cross multiply
    10,810.13x = 24,580.13 × 24,580.13
  4. Step 4: Simplify right side
    10,810.13x = 604,182,545.02
  5. Step 5: Solve for x
    x = 604,182,545.02/10,810.13
  6. Step 6: Final answer
    x = 55,890.43

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.