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Finding the Third Proportional to 13,159.13 and 17,776.13

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Solution

The third proportional to 13,159.13 and 17,776.13 is: 24,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.13 : 17,776.13 = 17,776.13 : x
  2. Step 2: Convert to fraction form
    13,159.13/17,776.13 = 17,776.13/x
  3. Step 3: Cross multiply
    13,159.13x = 17,776.13 × 17,776.13
  4. Step 4: Simplify right side
    13,159.13x = 315,990,620.02
  5. Step 5: Solve for x
    x = 315,990,620.02/13,159.13
  6. Step 6: Final answer
    x = 24,013.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.