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Finding the Third Proportional to 35,374 and 76,580

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Solution

The third proportional to 35,374 and 76,580 is: 165,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374 : 76,580 = 76,580 : x
  2. Step 2: Convert to fraction form
    35,374/76,580 = 76,580/x
  3. Step 3: Cross multiply
    35,374x = 76,580 × 76,580
  4. Step 4: Simplify right side
    35,374x = 5,864,496,400
  5. Step 5: Solve for x
    x = 5,864,496,400/35,374
  6. Step 6: Final answer
    x = 165,785.50

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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.