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Finding the Third Proportional to 7,291.13 and 16,837.88

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Solution

The third proportional to 7,291.13 and 16,837.88 is: 38,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.13 : 16,837.88 = 16,837.88 : x
  2. Step 2: Convert to fraction form
    7,291.13/16,837.88 = 16,837.88/x
  3. Step 3: Cross multiply
    7,291.13x = 16,837.88 × 16,837.88
  4. Step 4: Simplify right side
    7,291.13x = 283,514,034.52
  5. Step 5: Solve for x
    x = 283,514,034.52/7,291.13
  6. Step 6: Final answer
    x = 38,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.