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Finding the Third Proportional to 21,937 and 32,629

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Solution

The third proportional to 21,937 and 32,629 is: 48,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937 : 32,629 = 32,629 : x
  2. Step 2: Convert to fraction form
    21,937/32,629 = 32,629/x
  3. Step 3: Cross multiply
    21,937x = 32,629 × 32,629
  4. Step 4: Simplify right side
    21,937x = 1,064,651,641
  5. Step 5: Solve for x
    x = 1,064,651,641/21,937
  6. Step 6: Final answer
    x = 48,532.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.