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Finding the Third Proportional to 34,216 and 52,960

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Solution

The third proportional to 34,216 and 52,960 is: 81,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216 : 52,960 = 52,960 : x
  2. Step 2: Convert to fraction form
    34,216/52,960 = 52,960/x
  3. Step 3: Cross multiply
    34,216x = 52,960 × 52,960
  4. Step 4: Simplify right side
    34,216x = 2,804,761,600
  5. Step 5: Solve for x
    x = 2,804,761,600/34,216
  6. Step 6: Final answer
    x = 81,972.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.