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Finding the Third Proportional to 10,100.95 and 22,207.08

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Solution

The third proportional to 10,100.95 and 22,207.08 is: 48,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.95 : 22,207.08 = 22,207.08 : x
  2. Step 2: Convert to fraction form
    10,100.95/22,207.08 = 22,207.08/x
  3. Step 3: Cross multiply
    10,100.95x = 22,207.08 × 22,207.08
  4. Step 4: Simplify right side
    10,100.95x = 493,154,318.85
  5. Step 5: Solve for x
    x = 493,154,318.85/10,100.95
  6. Step 6: Final answer
    x = 48,822.55

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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.