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Finding the Third Proportional to 7,641.38 and 12,157.88

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Solution

The third proportional to 7,641.38 and 12,157.88 is: 19,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.38 : 12,157.88 = 12,157.88 : x
  2. Step 2: Convert to fraction form
    7,641.38/12,157.88 = 12,157.88/x
  3. Step 3: Cross multiply
    7,641.38x = 12,157.88 × 12,157.88
  4. Step 4: Simplify right side
    7,641.38x = 147,813,924.52
  5. Step 5: Solve for x
    x = 147,813,924.52/7,641.38
  6. Step 6: Final answer
    x = 19,343.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.