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Finding the Third Proportional to 38,750.50 and 58,411

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Solution

The third proportional to 38,750.50 and 58,411 is: 88,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750.50 : 58,411 = 58,411 : x
  2. Step 2: Convert to fraction form
    38,750.50/58,411 = 58,411/x
  3. Step 3: Cross multiply
    38,750.50x = 58,411 × 58,411
  4. Step 4: Simplify right side
    38,750.50x = 3,411,844,921
  5. Step 5: Solve for x
    x = 3,411,844,921/38,750.50
  6. Step 6: Final answer
    x = 88,046.47

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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.