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Finding the Third Proportional to 8,407.13 and 17,911.13

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Solution

The third proportional to 8,407.13 and 17,911.13 is: 38,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.13 : 17,911.13 = 17,911.13 : x
  2. Step 2: Convert to fraction form
    8,407.13/17,911.13 = 17,911.13/x
  3. Step 3: Cross multiply
    8,407.13x = 17,911.13 × 17,911.13
  4. Step 4: Simplify right side
    8,407.13x = 320,808,398.77
  5. Step 5: Solve for x
    x = 320,808,398.77/8,407.13
  6. Step 6: Final answer
    x = 38,159.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.