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Finding the Third Proportional to 10,405.13 and 22,658.06

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Solution

The third proportional to 10,405.13 and 22,658.06 is: 49,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.13 : 22,658.06 = 22,658.06 : x
  2. Step 2: Convert to fraction form
    10,405.13/22,658.06 = 22,658.06/x
  3. Step 3: Cross multiply
    10,405.13x = 22,658.06 × 22,658.06
  4. Step 4: Simplify right side
    10,405.13x = 513,387,796.25
  5. Step 5: Solve for x
    x = 513,387,796.25/10,405.13
  6. Step 6: Final answer
    x = 49,339.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.