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Finding the Third Proportional to 34,001 and 52,518

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Solution

The third proportional to 34,001 and 52,518 is: 81,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001 : 52,518 = 52,518 : x
  2. Step 2: Convert to fraction form
    34,001/52,518 = 52,518/x
  3. Step 3: Cross multiply
    34,001x = 52,518 × 52,518
  4. Step 4: Simplify right side
    34,001x = 2,758,140,324
  5. Step 5: Solve for x
    x = 2,758,140,324/34,001
  6. Step 6: Final answer
    x = 81,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.