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Finding the Third Proportional to 36,102 and 54,310

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Solution

The third proportional to 36,102 and 54,310 is: 81,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 54,310 = 54,310 : x
  2. Step 2: Convert to fraction form
    36,102/54,310 = 54,310/x
  3. Step 3: Cross multiply
    36,102x = 54,310 × 54,310
  4. Step 4: Simplify right side
    36,102x = 2,949,576,100
  5. Step 5: Solve for x
    x = 2,949,576,100/36,102
  6. Step 6: Final answer
    x = 81,701.18

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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.