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Finding the Third Proportional to 23,015.25 and 24,531.75

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Solution

The third proportional to 23,015.25 and 24,531.75 is: 26,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,015.25 : 24,531.75 = 24,531.75 : x
  2. Step 2: Convert to fraction form
    23,015.25/24,531.75 = 24,531.75/x
  3. Step 3: Cross multiply
    23,015.25x = 24,531.75 × 24,531.75
  4. Step 4: Simplify right side
    23,015.25x = 601,806,758.06
  5. Step 5: Solve for x
    x = 601,806,758.06/23,015.25
  6. Step 6: Final answer
    x = 26,148.17

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.