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Finding the Third Proportional to 38,750 and 58,410

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Solution

The third proportional to 38,750 and 58,410 is: 88,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750 : 58,410 = 58,410 : x
  2. Step 2: Convert to fraction form
    38,750/58,410 = 58,410/x
  3. Step 3: Cross multiply
    38,750x = 58,410 × 58,410
  4. Step 4: Simplify right side
    38,750x = 3,411,728,100
  5. Step 5: Solve for x
    x = 3,411,728,100/38,750
  6. Step 6: Final answer
    x = 88,044.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.