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Finding the Third Proportional to 3,160.69 and 4,342.78

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Solution

The third proportional to 3,160.69 and 4,342.78 is: 5,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.69 : 4,342.78 = 4,342.78 : x
  2. Step 2: Convert to fraction form
    3,160.69/4,342.78 = 4,342.78/x
  3. Step 3: Cross multiply
    3,160.69x = 4,342.78 × 4,342.78
  4. Step 4: Simplify right side
    3,160.69x = 18,859,748.99
  5. Step 5: Solve for x
    x = 18,859,748.99/3,160.69
  6. Step 6: Final answer
    x = 5,966.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.