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Finding the Third Proportional to 39,597 and 58,096.50

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Solution

The third proportional to 39,597 and 58,096.50 is: 85,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,597 : 58,096.50 = 58,096.50 : x
  2. Step 2: Convert to fraction form
    39,597/58,096.50 = 58,096.50/x
  3. Step 3: Cross multiply
    39,597x = 58,096.50 × 58,096.50
  4. Step 4: Simplify right side
    39,597x = 3,375,203,312.25
  5. Step 5: Solve for x
    x = 3,375,203,312.25/39,597
  6. Step 6: Final answer
    x = 85,238.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.