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Finding the Third Proportional to 21,529.13 and 47,301.75

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Solution

The third proportional to 21,529.13 and 47,301.75 is: 103,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.13 : 47,301.75 = 47,301.75 : x
  2. Step 2: Convert to fraction form
    21,529.13/47,301.75 = 47,301.75/x
  3. Step 3: Cross multiply
    21,529.13x = 47,301.75 × 47,301.75
  4. Step 4: Simplify right side
    21,529.13x = 2,237,455,553.06
  5. Step 5: Solve for x
    x = 2,237,455,553.06/21,529.13
  6. Step 6: Final answer
    x = 103,926.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.