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Finding the Third Proportional to 21,387 and 47,512.50

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Solution

The third proportional to 21,387 and 47,512.50 is: 105,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387 : 47,512.50 = 47,512.50 : x
  2. Step 2: Convert to fraction form
    21,387/47,512.50 = 47,512.50/x
  3. Step 3: Cross multiply
    21,387x = 47,512.50 × 47,512.50
  4. Step 4: Simplify right side
    21,387x = 2,257,437,656.25
  5. Step 5: Solve for x
    x = 2,257,437,656.25/21,387
  6. Step 6: Final answer
    x = 105,551.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.