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Finding the Third Proportional to 36,292 and 55,518

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Solution

The third proportional to 36,292 and 55,518 is: 84,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292 : 55,518 = 55,518 : x
  2. Step 2: Convert to fraction form
    36,292/55,518 = 55,518/x
  3. Step 3: Cross multiply
    36,292x = 55,518 × 55,518
  4. Step 4: Simplify right side
    36,292x = 3,082,248,324
  5. Step 5: Solve for x
    x = 3,082,248,324/36,292
  6. Step 6: Final answer
    x = 84,929.14

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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.