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Finding the Third Proportional to 36,148 and 55,662

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Solution

The third proportional to 36,148 and 55,662 is: 85,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148 : 55,662 = 55,662 : x
  2. Step 2: Convert to fraction form
    36,148/55,662 = 55,662/x
  3. Step 3: Cross multiply
    36,148x = 55,662 × 55,662
  4. Step 4: Simplify right side
    36,148x = 3,098,258,244
  5. Step 5: Solve for x
    x = 3,098,258,244/36,148
  6. Step 6: Final answer
    x = 85,710.36

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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.