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Finding the Third Proportional to 38,090 and 58,431

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Solution

The third proportional to 38,090 and 58,431 is: 89,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090 : 58,431 = 58,431 : x
  2. Step 2: Convert to fraction form
    38,090/58,431 = 58,431/x
  3. Step 3: Cross multiply
    38,090x = 58,431 × 58,431
  4. Step 4: Simplify right side
    38,090x = 3,414,181,761
  5. Step 5: Solve for x
    x = 3,414,181,761/38,090
  6. Step 6: Final answer
    x = 89,634.60

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Why These Related Problems?

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