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Finding the Third Proportional to 24,209 and 36,678

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Solution

The third proportional to 24,209 and 36,678 is: 55,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209 : 36,678 = 36,678 : x
  2. Step 2: Convert to fraction form
    24,209/36,678 = 36,678/x
  3. Step 3: Cross multiply
    24,209x = 36,678 × 36,678
  4. Step 4: Simplify right side
    24,209x = 1,345,275,684
  5. Step 5: Solve for x
    x = 1,345,275,684/24,209
  6. Step 6: Final answer
    x = 55,569.24

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Why These Related Problems?

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