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Finding the Third Proportional to 42,388 and 62,282

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Solution

The third proportional to 42,388 and 62,282 is: 91,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,388 : 62,282 = 62,282 : x
  2. Step 2: Convert to fraction form
    42,388/62,282 = 62,282/x
  3. Step 3: Cross multiply
    42,388x = 62,282 × 62,282
  4. Step 4: Simplify right side
    42,388x = 3,879,047,524
  5. Step 5: Solve for x
    x = 3,879,047,524/42,388
  6. Step 6: Final answer
    x = 91,512.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.