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Finding the Third Proportional to 7,979.91 and 17,358.47

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Solution

The third proportional to 7,979.91 and 17,358.47 is: 37,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.91 : 17,358.47 = 17,358.47 : x
  2. Step 2: Convert to fraction form
    7,979.91/17,358.47 = 17,358.47/x
  3. Step 3: Cross multiply
    7,979.91x = 17,358.47 × 17,358.47
  4. Step 4: Simplify right side
    7,979.91x = 301,316,437.34
  5. Step 5: Solve for x
    x = 301,316,437.34/7,979.91
  6. Step 6: Final answer
    x = 37,759.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.