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Finding the Third Proportional to 8,753.44 and 19,207.69

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Solution

The third proportional to 8,753.44 and 19,207.69 is: 42,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.44 : 19,207.69 = 19,207.69 : x
  2. Step 2: Convert to fraction form
    8,753.44/19,207.69 = 19,207.69/x
  3. Step 3: Cross multiply
    8,753.44x = 19,207.69 × 19,207.69
  4. Step 4: Simplify right side
    8,753.44x = 368,935,259.10
  5. Step 5: Solve for x
    x = 368,935,259.10/8,753.44
  6. Step 6: Final answer
    x = 42,147.47

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Why These Related Problems?

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