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Finding the Third Proportional to 25,363.13 and 34,023.80

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Solution

The third proportional to 25,363.13 and 34,023.80 is: 45,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.13 : 34,023.80 = 34,023.80 : x
  2. Step 2: Convert to fraction form
    25,363.13/34,023.80 = 34,023.80/x
  3. Step 3: Cross multiply
    25,363.13x = 34,023.80 × 34,023.80
  4. Step 4: Simplify right side
    25,363.13x = 1,157,618,753.79
  5. Step 5: Solve for x
    x = 1,157,618,753.79/25,363.13
  6. Step 6: Final answer
    x = 45,641.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.