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Finding the Third Proportional to 21,887.09 and 47,951.68

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Solution

The third proportional to 21,887.09 and 47,951.68 is: 105,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.09 : 47,951.68 = 47,951.68 : x
  2. Step 2: Convert to fraction form
    21,887.09/47,951.68 = 47,951.68/x
  3. Step 3: Cross multiply
    21,887.09x = 47,951.68 × 47,951.68
  4. Step 4: Simplify right side
    21,887.09x = 2,299,363,959.48
  5. Step 5: Solve for x
    x = 2,299,363,959.48/21,887.09
  6. Step 6: Final answer
    x = 105,055.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.