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Finding the Third Proportional to 36,266 and 55,478

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Solution

The third proportional to 36,266 and 55,478 is: 84,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266 : 55,478 = 55,478 : x
  2. Step 2: Convert to fraction form
    36,266/55,478 = 55,478/x
  3. Step 3: Cross multiply
    36,266x = 55,478 × 55,478
  4. Step 4: Simplify right side
    36,266x = 3,077,808,484
  5. Step 5: Solve for x
    x = 3,077,808,484/36,266
  6. Step 6: Final answer
    x = 84,867.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.