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Finding the Third Proportional to 51,822 and 76,031

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Solution

The third proportional to 51,822 and 76,031 is: 111,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822 : 76,031 = 76,031 : x
  2. Step 2: Convert to fraction form
    51,822/76,031 = 76,031/x
  3. Step 3: Cross multiply
    51,822x = 76,031 × 76,031
  4. Step 4: Simplify right side
    51,822x = 5,780,712,961
  5. Step 5: Solve for x
    x = 5,780,712,961/51,822
  6. Step 6: Final answer
    x = 111,549.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.