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Finding the Third Proportional to 31,467 and 65,499

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Solution

The third proportional to 31,467 and 65,499 is: 136,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467 : 65,499 = 65,499 : x
  2. Step 2: Convert to fraction form
    31,467/65,499 = 65,499/x
  3. Step 3: Cross multiply
    31,467x = 65,499 × 65,499
  4. Step 4: Simplify right side
    31,467x = 4,290,119,001
  5. Step 5: Solve for x
    x = 4,290,119,001/31,467
  6. Step 6: Final answer
    x = 136,337.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.