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Finding the Third Proportional to 10,864.13 and 16,647.19

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Solution

The third proportional to 10,864.13 and 16,647.19 is: 25,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.13 : 16,647.19 = 16,647.19 : x
  2. Step 2: Convert to fraction form
    10,864.13/16,647.19 = 16,647.19/x
  3. Step 3: Cross multiply
    10,864.13x = 16,647.19 × 16,647.19
  4. Step 4: Simplify right side
    10,864.13x = 277,128,851.66
  5. Step 5: Solve for x
    x = 277,128,851.66/10,864.13
  6. Step 6: Final answer
    x = 25,508.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.