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Finding the Third Proportional to 42,500 and 63,462

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Solution

The third proportional to 42,500 and 63,462 is: 94,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,500 : 63,462 = 63,462 : x
  2. Step 2: Convert to fraction form
    42,500/63,462 = 63,462/x
  3. Step 3: Cross multiply
    42,500x = 63,462 × 63,462
  4. Step 4: Simplify right side
    42,500x = 4,027,425,444
  5. Step 5: Solve for x
    x = 4,027,425,444/42,500
  6. Step 6: Final answer
    x = 94,762.95

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