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Finding the Third Proportional to 8,002.13 and 18,693.28

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Solution

The third proportional to 8,002.13 and 18,693.28 is: 43,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 18,693.28 = 18,693.28 : x
  2. Step 2: Convert to fraction form
    8,002.13/18,693.28 = 18,693.28/x
  3. Step 3: Cross multiply
    8,002.13x = 18,693.28 × 18,693.28
  4. Step 4: Simplify right side
    8,002.13x = 349,438,763.89
  5. Step 5: Solve for x
    x = 349,438,763.89/8,002.13
  6. Step 6: Final answer
    x = 43,668.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.