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Finding the Third Proportional to 38,202.50 and 58,402

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Solution

The third proportional to 38,202.50 and 58,402 is: 89,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.50 : 58,402 = 58,402 : x
  2. Step 2: Convert to fraction form
    38,202.50/58,402 = 58,402/x
  3. Step 3: Cross multiply
    38,202.50x = 58,402 × 58,402
  4. Step 4: Simplify right side
    38,202.50x = 3,410,793,604
  5. Step 5: Solve for x
    x = 3,410,793,604/38,202.50
  6. Step 6: Final answer
    x = 89,281.95

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