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Finding the Third Proportional to 40,464 and 87,408

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Solution

The third proportional to 40,464 and 87,408 is: 188,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 87,408 = 87,408 : x
  2. Step 2: Convert to fraction form
    40,464/87,408 = 87,408/x
  3. Step 3: Cross multiply
    40,464x = 87,408 × 87,408
  4. Step 4: Simplify right side
    40,464x = 7,640,158,464
  5. Step 5: Solve for x
    x = 7,640,158,464/40,464
  6. Step 6: Final answer
    x = 188,813.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.