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Finding the Third Proportional to 21,877.13 and 47,713.75

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Solution

The third proportional to 21,877.13 and 47,713.75 is: 104,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.13 : 47,713.75 = 47,713.75 : x
  2. Step 2: Convert to fraction form
    21,877.13/47,713.75 = 47,713.75/x
  3. Step 3: Cross multiply
    21,877.13x = 47,713.75 × 47,713.75
  4. Step 4: Simplify right side
    21,877.13x = 2,276,601,939.06
  5. Step 5: Solve for x
    x = 2,276,601,939.06/21,877.13
  6. Step 6: Final answer
    x = 104,063.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.