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Finding the Third Proportional to 22,052.25 and 47,293.88

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Solution

The third proportional to 22,052.25 and 47,293.88 is: 101,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052.25 : 47,293.88 = 47,293.88 : x
  2. Step 2: Convert to fraction form
    22,052.25/47,293.88 = 47,293.88/x
  3. Step 3: Cross multiply
    22,052.25x = 47,293.88 × 47,293.88
  4. Step 4: Simplify right side
    22,052.25x = 2,236,710,612.52
  5. Step 5: Solve for x
    x = 2,236,710,612.52/22,052.25
  6. Step 6: Final answer
    x = 101,427.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.