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Finding the Third Proportional to 35,320 and 76,376

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Solution

The third proportional to 35,320 and 76,376 is: 165,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,320 : 76,376 = 76,376 : x
  2. Step 2: Convert to fraction form
    35,320/76,376 = 76,376/x
  3. Step 3: Cross multiply
    35,320x = 76,376 × 76,376
  4. Step 4: Simplify right side
    35,320x = 5,833,293,376
  5. Step 5: Solve for x
    x = 5,833,293,376/35,320
  6. Step 6: Final answer
    x = 165,155.53

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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.