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Finding the Third Proportional to 20,427 and 32,585

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Solution

The third proportional to 20,427 and 32,585 is: 51,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 32,585 = 32,585 : x
  2. Step 2: Convert to fraction form
    20,427/32,585 = 32,585/x
  3. Step 3: Cross multiply
    20,427x = 32,585 × 32,585
  4. Step 4: Simplify right side
    20,427x = 1,061,782,225
  5. Step 5: Solve for x
    x = 1,061,782,225/20,427
  6. Step 6: Final answer
    x = 51,979.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.