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Finding the Third Proportional to 5,538.38 and 7,756.88

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Solution

The third proportional to 5,538.38 and 7,756.88 is: 10,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.38 : 7,756.88 = 7,756.88 : x
  2. Step 2: Convert to fraction form
    5,538.38/7,756.88 = 7,756.88/x
  3. Step 3: Cross multiply
    5,538.38x = 7,756.88 × 7,756.88
  4. Step 4: Simplify right side
    5,538.38x = 60,169,109.77
  5. Step 5: Solve for x
    x = 60,169,109.77/5,538.38
  6. Step 6: Final answer
    x = 10,864.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.