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Finding the Third Proportional to 22,439.53 and 47,878.59

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Solution

The third proportional to 22,439.53 and 47,878.59 is: 102,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,439.53 : 47,878.59 = 47,878.59 : x
  2. Step 2: Convert to fraction form
    22,439.53/47,878.59 = 47,878.59/x
  3. Step 3: Cross multiply
    22,439.53x = 47,878.59 × 47,878.59
  4. Step 4: Simplify right side
    22,439.53x = 2,292,359,739.48
  5. Step 5: Solve for x
    x = 2,292,359,739.48/22,439.53
  6. Step 6: Final answer
    x = 102,157.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.