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Finding the Third Proportional to 21,472.88 and 47,180.25

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Solution

The third proportional to 21,472.88 and 47,180.25 is: 103,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.88 : 47,180.25 = 47,180.25 : x
  2. Step 2: Convert to fraction form
    21,472.88/47,180.25 = 47,180.25/x
  3. Step 3: Cross multiply
    21,472.88x = 47,180.25 × 47,180.25
  4. Step 4: Simplify right side
    21,472.88x = 2,225,975,990.06
  5. Step 5: Solve for x
    x = 2,225,975,990.06/21,472.88
  6. Step 6: Final answer
    x = 103,664.55

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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.