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Finding the Third Proportional to 38,758.50 and 84,438.70

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Solution

The third proportional to 38,758.50 and 84,438.70 is: 183,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,758.50 : 84,438.70 = 84,438.70 : x
  2. Step 2: Convert to fraction form
    38,758.50/84,438.70 = 84,438.70/x
  3. Step 3: Cross multiply
    38,758.50x = 84,438.70 × 84,438.70
  4. Step 4: Simplify right side
    38,758.50x = 7,129,894,585.43
  5. Step 5: Solve for x
    x = 7,129,894,585.43/38,758.50
  6. Step 6: Final answer
    x = 183,956.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.