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Finding the Third Proportional to 38,308 and 57,508

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Solution

The third proportional to 38,308 and 57,508 is: 86,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308 : 57,508 = 57,508 : x
  2. Step 2: Convert to fraction form
    38,308/57,508 = 57,508/x
  3. Step 3: Cross multiply
    38,308x = 57,508 × 57,508
  4. Step 4: Simplify right side
    38,308x = 3,307,170,064
  5. Step 5: Solve for x
    x = 3,307,170,064/38,308
  6. Step 6: Final answer
    x = 86,331.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.