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Finding the Third Proportional to 4,429.69 and 5,719.78

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Solution

The third proportional to 4,429.69 and 5,719.78 is: 7,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.69 : 5,719.78 = 5,719.78 : x
  2. Step 2: Convert to fraction form
    4,429.69/5,719.78 = 5,719.78/x
  3. Step 3: Cross multiply
    4,429.69x = 5,719.78 × 5,719.78
  4. Step 4: Simplify right side
    4,429.69x = 32,715,897.55
  5. Step 5: Solve for x
    x = 32,715,897.55/4,429.69
  6. Step 6: Final answer
    x = 7,385.60

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.