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Finding the Third Proportional to 34,127 and 52,649

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Solution

The third proportional to 34,127 and 52,649 is: 81,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127 : 52,649 = 52,649 : x
  2. Step 2: Convert to fraction form
    34,127/52,649 = 52,649/x
  3. Step 3: Cross multiply
    34,127x = 52,649 × 52,649
  4. Step 4: Simplify right side
    34,127x = 2,771,917,201
  5. Step 5: Solve for x
    x = 2,771,917,201/34,127
  6. Step 6: Final answer
    x = 81,223.58

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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.