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Finding the Third Proportional to 21,961.13 and 47,071.76

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Solution

The third proportional to 21,961.13 and 47,071.76 is: 100,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961.13 : 47,071.76 = 47,071.76 : x
  2. Step 2: Convert to fraction form
    21,961.13/47,071.76 = 47,071.76/x
  3. Step 3: Cross multiply
    21,961.13x = 47,071.76 × 47,071.76
  4. Step 4: Simplify right side
    21,961.13x = 2,215,750,383.56
  5. Step 5: Solve for x
    x = 2,215,750,383.56/21,961.13
  6. Step 6: Final answer
    x = 100,894.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.