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Finding the Third Proportional to 32,921 and 71,462

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Solution

The third proportional to 32,921 and 71,462 is: 155,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921 : 71,462 = 71,462 : x
  2. Step 2: Convert to fraction form
    32,921/71,462 = 71,462/x
  3. Step 3: Cross multiply
    32,921x = 71,462 × 71,462
  4. Step 4: Simplify right side
    32,921x = 5,106,817,444
  5. Step 5: Solve for x
    x = 5,106,817,444/32,921
  6. Step 6: Final answer
    x = 155,123.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.