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Finding the Third Proportional to 21,904.17 and 47,071.76

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Solution

The third proportional to 21,904.17 and 47,071.76 is: 101,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.17 : 47,071.76 = 47,071.76 : x
  2. Step 2: Convert to fraction form
    21,904.17/47,071.76 = 47,071.76/x
  3. Step 3: Cross multiply
    21,904.17x = 47,071.76 × 47,071.76
  4. Step 4: Simplify right side
    21,904.17x = 2,215,750,383.56
  5. Step 5: Solve for x
    x = 2,215,750,383.56/21,904.17
  6. Step 6: Final answer
    x = 101,156.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.