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Finding the Third Proportional to 23,111.25 and 35,685.75

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Solution

The third proportional to 23,111.25 and 35,685.75 is: 55,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.25 : 35,685.75 = 35,685.75 : x
  2. Step 2: Convert to fraction form
    23,111.25/35,685.75 = 35,685.75/x
  3. Step 3: Cross multiply
    23,111.25x = 35,685.75 × 35,685.75
  4. Step 4: Simplify right side
    23,111.25x = 1,273,472,753.06
  5. Step 5: Solve for x
    x = 1,273,472,753.06/23,111.25
  6. Step 6: Final answer
    x = 55,101.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.