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Finding the Third Proportional to 7,141.92 and 15,668.02

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Solution

The third proportional to 7,141.92 and 15,668.02 is: 34,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.92 : 15,668.02 = 15,668.02 : x
  2. Step 2: Convert to fraction form
    7,141.92/15,668.02 = 15,668.02/x
  3. Step 3: Cross multiply
    7,141.92x = 15,668.02 × 15,668.02
  4. Step 4: Simplify right side
    7,141.92x = 245,486,713.63
  5. Step 5: Solve for x
    x = 245,486,713.63/7,141.92
  6. Step 6: Final answer
    x = 34,372.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.