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Finding the Third Proportional to 39,230 and 59,211.75

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Solution

The third proportional to 39,230 and 59,211.75 is: 89,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,230 : 59,211.75 = 59,211.75 : x
  2. Step 2: Convert to fraction form
    39,230/59,211.75 = 59,211.75/x
  3. Step 3: Cross multiply
    39,230x = 59,211.75 × 59,211.75
  4. Step 4: Simplify right side
    39,230x = 3,506,031,338.06
  5. Step 5: Solve for x
    x = 3,506,031,338.06/39,230
  6. Step 6: Final answer
    x = 89,371.18

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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.