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Finding the Third Proportional to 21,862.13 and 47,069.44

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Solution

The third proportional to 21,862.13 and 47,069.44 is: 101,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.13 : 47,069.44 = 47,069.44 : x
  2. Step 2: Convert to fraction form
    21,862.13/47,069.44 = 47,069.44/x
  3. Step 3: Cross multiply
    21,862.13x = 47,069.44 × 47,069.44
  4. Step 4: Simplify right side
    21,862.13x = 2,215,531,946.57
  5. Step 5: Solve for x
    x = 2,215,531,946.57/21,862.13
  6. Step 6: Final answer
    x = 101,341.11

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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.