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Finding the Third Proportional to 24,168 and 37,354

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Solution

The third proportional to 24,168 and 37,354 is: 57,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,168 : 37,354 = 37,354 : x
  2. Step 2: Convert to fraction form
    24,168/37,354 = 37,354/x
  3. Step 3: Cross multiply
    24,168x = 37,354 × 37,354
  4. Step 4: Simplify right side
    24,168x = 1,395,321,316
  5. Step 5: Solve for x
    x = 1,395,321,316/24,168
  6. Step 6: Final answer
    x = 57,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.