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Finding the Third Proportional to 10,195.13 and 22,459.88

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Solution

The third proportional to 10,195.13 and 22,459.88 is: 49,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.13 : 22,459.88 = 22,459.88 : x
  2. Step 2: Convert to fraction form
    10,195.13/22,459.88 = 22,459.88/x
  3. Step 3: Cross multiply
    10,195.13x = 22,459.88 × 22,459.88
  4. Step 4: Simplify right side
    10,195.13x = 504,445,985.02
  5. Step 5: Solve for x
    x = 504,445,985.02/10,195.13
  6. Step 6: Final answer
    x = 49,479.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.