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Finding the Third Proportional to 10,215.70 and 22,240.41

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Solution

The third proportional to 10,215.70 and 22,240.41 is: 48,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.70 : 22,240.41 = 22,240.41 : x
  2. Step 2: Convert to fraction form
    10,215.70/22,240.41 = 22,240.41/x
  3. Step 3: Cross multiply
    10,215.70x = 22,240.41 × 22,240.41
  4. Step 4: Simplify right side
    10,215.70x = 494,635,670.17
  5. Step 5: Solve for x
    x = 494,635,670.17/10,215.70
  6. Step 6: Final answer
    x = 48,419.15

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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.