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Finding the Third Proportional to 21,062.25 and 31,947.75

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Solution

The third proportional to 21,062.25 and 31,947.75 is: 48,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.25 : 31,947.75 = 31,947.75 : x
  2. Step 2: Convert to fraction form
    21,062.25/31,947.75 = 31,947.75/x
  3. Step 3: Cross multiply
    21,062.25x = 31,947.75 × 31,947.75
  4. Step 4: Simplify right side
    21,062.25x = 1,020,658,730.06
  5. Step 5: Solve for x
    x = 1,020,658,730.06/21,062.25
  6. Step 6: Final answer
    x = 48,459.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.