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Finding the Third Proportional to 42,552 and 64,980

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Solution

The third proportional to 42,552 and 64,980 is: 99,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 64,980 = 64,980 : x
  2. Step 2: Convert to fraction form
    42,552/64,980 = 64,980/x
  3. Step 3: Cross multiply
    42,552x = 64,980 × 64,980
  4. Step 4: Simplify right side
    42,552x = 4,222,400,400
  5. Step 5: Solve for x
    x = 4,222,400,400/42,552
  6. Step 6: Final answer
    x = 99,229.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.