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Finding the Third Proportional to 15,471.56 and 22,545.84

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Solution

The third proportional to 15,471.56 and 22,545.84 is: 32,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.56 : 22,545.84 = 22,545.84 : x
  2. Step 2: Convert to fraction form
    15,471.56/22,545.84 = 22,545.84/x
  3. Step 3: Cross multiply
    15,471.56x = 22,545.84 × 22,545.84
  4. Step 4: Simplify right side
    15,471.56x = 508,315,070.40
  5. Step 5: Solve for x
    x = 508,315,070.40/15,471.56
  6. Step 6: Final answer
    x = 32,854.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.