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Finding the Third Proportional to 24,228 and 35,826

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Solution

The third proportional to 24,228 and 35,826 is: 52,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 35,826 = 35,826 : x
  2. Step 2: Convert to fraction form
    24,228/35,826 = 35,826/x
  3. Step 3: Cross multiply
    24,228x = 35,826 × 35,826
  4. Step 4: Simplify right side
    24,228x = 1,283,502,276
  5. Step 5: Solve for x
    x = 1,283,502,276/24,228
  6. Step 6: Final answer
    x = 52,975.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.