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Finding the Third Proportional to 34,850 and 53,571

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Solution

The third proportional to 34,850 and 53,571 is: 82,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,850 : 53,571 = 53,571 : x
  2. Step 2: Convert to fraction form
    34,850/53,571 = 53,571/x
  3. Step 3: Cross multiply
    34,850x = 53,571 × 53,571
  4. Step 4: Simplify right side
    34,850x = 2,869,852,041
  5. Step 5: Solve for x
    x = 2,869,852,041/34,850
  6. Step 6: Final answer
    x = 82,348.70

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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.