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Finding the Third Proportional to 36,458 and 56,206

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Solution

The third proportional to 36,458 and 56,206 is: 86,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458 : 56,206 = 56,206 : x
  2. Step 2: Convert to fraction form
    36,458/56,206 = 56,206/x
  3. Step 3: Cross multiply
    36,458x = 56,206 × 56,206
  4. Step 4: Simplify right side
    36,458x = 3,159,114,436
  5. Step 5: Solve for x
    x = 3,159,114,436/36,458
  6. Step 6: Final answer
    x = 86,650.79

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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.