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Finding the Third Proportional to 35,972 and 53,814

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Solution

The third proportional to 35,972 and 53,814 is: 80,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972 : 53,814 = 53,814 : x
  2. Step 2: Convert to fraction form
    35,972/53,814 = 53,814/x
  3. Step 3: Cross multiply
    35,972x = 53,814 × 53,814
  4. Step 4: Simplify right side
    35,972x = 2,895,946,596
  5. Step 5: Solve for x
    x = 2,895,946,596/35,972
  6. Step 6: Final answer
    x = 80,505.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.