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Finding the Third Proportional to 21,438 and 32,535

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Solution

The third proportional to 21,438 and 32,535 is: 49,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 32,535 = 32,535 : x
  2. Step 2: Convert to fraction form
    21,438/32,535 = 32,535/x
  3. Step 3: Cross multiply
    21,438x = 32,535 × 32,535
  4. Step 4: Simplify right side
    21,438x = 1,058,526,225
  5. Step 5: Solve for x
    x = 1,058,526,225/21,438
  6. Step 6: Final answer
    x = 49,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.