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Finding the Third Proportional to 22,056.75 and 47,423.25

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Solution

The third proportional to 22,056.75 and 47,423.25 is: 101,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.75 : 47,423.25 = 47,423.25 : x
  2. Step 2: Convert to fraction form
    22,056.75/47,423.25 = 47,423.25/x
  3. Step 3: Cross multiply
    22,056.75x = 47,423.25 × 47,423.25
  4. Step 4: Simplify right side
    22,056.75x = 2,248,964,640.56
  5. Step 5: Solve for x
    x = 2,248,964,640.56/22,056.75
  6. Step 6: Final answer
    x = 101,962.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.