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Finding the Third Proportional to 21,762 and 32,565

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Solution

The third proportional to 21,762 and 32,565 is: 48,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762 : 32,565 = 32,565 : x
  2. Step 2: Convert to fraction form
    21,762/32,565 = 32,565/x
  3. Step 3: Cross multiply
    21,762x = 32,565 × 32,565
  4. Step 4: Simplify right side
    21,762x = 1,060,479,225
  5. Step 5: Solve for x
    x = 1,060,479,225/21,762
  6. Step 6: Final answer
    x = 48,730.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.