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Finding the Third Proportional to 22,287 and 32,585

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Solution

The third proportional to 22,287 and 32,585 is: 47,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287 : 32,585 = 32,585 : x
  2. Step 2: Convert to fraction form
    22,287/32,585 = 32,585/x
  3. Step 3: Cross multiply
    22,287x = 32,585 × 32,585
  4. Step 4: Simplify right side
    22,287x = 1,061,782,225
  5. Step 5: Solve for x
    x = 1,061,782,225/22,287
  6. Step 6: Final answer
    x = 47,641.33

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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.