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Finding the Third Proportional to 36,374 and 78,310

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Solution

The third proportional to 36,374 and 78,310 is: 168,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,374 : 78,310 = 78,310 : x
  2. Step 2: Convert to fraction form
    36,374/78,310 = 78,310/x
  3. Step 3: Cross multiply
    36,374x = 78,310 × 78,310
  4. Step 4: Simplify right side
    36,374x = 6,132,456,100
  5. Step 5: Solve for x
    x = 6,132,456,100/36,374
  6. Step 6: Final answer
    x = 168,594.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.