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Finding the Third Proportional to 35,670 and 76,281

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Solution

The third proportional to 35,670 and 76,281 is: 163,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670 : 76,281 = 76,281 : x
  2. Step 2: Convert to fraction form
    35,670/76,281 = 76,281/x
  3. Step 3: Cross multiply
    35,670x = 76,281 × 76,281
  4. Step 4: Simplify right side
    35,670x = 5,818,790,961
  5. Step 5: Solve for x
    x = 5,818,790,961/35,670
  6. Step 6: Final answer
    x = 163,128.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.