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Finding the Third Proportional to 24,228 and 32,726.25

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Solution

The third proportional to 24,228 and 32,726.25 is: 44,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 32,726.25 = 32,726.25 : x
  2. Step 2: Convert to fraction form
    24,228/32,726.25 = 32,726.25/x
  3. Step 3: Cross multiply
    24,228x = 32,726.25 × 32,726.25
  4. Step 4: Simplify right side
    24,228x = 1,071,007,439.06
  5. Step 5: Solve for x
    x = 1,071,007,439.06/24,228
  6. Step 6: Final answer
    x = 44,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.