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Finding the Third Proportional to 24,221.95 and 51,947.16

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Solution

The third proportional to 24,221.95 and 51,947.16 is: 111,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.95 : 51,947.16 = 51,947.16 : x
  2. Step 2: Convert to fraction form
    24,221.95/51,947.16 = 51,947.16/x
  3. Step 3: Cross multiply
    24,221.95x = 51,947.16 × 51,947.16
  4. Step 4: Simplify right side
    24,221.95x = 2,698,507,042.46
  5. Step 5: Solve for x
    x = 2,698,507,042.46/24,221.95
  6. Step 6: Final answer
    x = 111,407.49

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