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Finding the Third Proportional to 36,246 and 55,729

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Solution

The third proportional to 36,246 and 55,729 is: 85,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,246 : 55,729 = 55,729 : x
  2. Step 2: Convert to fraction form
    36,246/55,729 = 55,729/x
  3. Step 3: Cross multiply
    36,246x = 55,729 × 55,729
  4. Step 4: Simplify right side
    36,246x = 3,105,721,441
  5. Step 5: Solve for x
    x = 3,105,721,441/36,246
  6. Step 6: Final answer
    x = 85,684.53

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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.