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Finding the Third Proportional to 1,659.38 and 4,123.13

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Solution

The third proportional to 1,659.38 and 4,123.13 is: 10,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.38 : 4,123.13 = 4,123.13 : x
  2. Step 2: Convert to fraction form
    1,659.38/4,123.13 = 4,123.13/x
  3. Step 3: Cross multiply
    1,659.38x = 4,123.13 × 4,123.13
  4. Step 4: Simplify right side
    1,659.38x = 17,000,159.77
  5. Step 5: Solve for x
    x = 17,000,159.77/1,659.38
  6. Step 6: Final answer
    x = 10,244.92

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.