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Finding the Third Proportional to 21,444.75 and 47,098.13

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Solution

The third proportional to 21,444.75 and 47,098.13 is: 103,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444.75 : 47,098.13 = 47,098.13 : x
  2. Step 2: Convert to fraction form
    21,444.75/47,098.13 = 47,098.13/x
  3. Step 3: Cross multiply
    21,444.75x = 47,098.13 × 47,098.13
  4. Step 4: Simplify right side
    21,444.75x = 2,218,233,378.52
  5. Step 5: Solve for x
    x = 2,218,233,378.52/21,444.75
  6. Step 6: Final answer
    x = 103,439.46

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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.