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Finding the Third Proportional to 36,462 and 56,248.75

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Solution

The third proportional to 36,462 and 56,248.75 is: 86,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462 : 56,248.75 = 56,248.75 : x
  2. Step 2: Convert to fraction form
    36,462/56,248.75 = 56,248.75/x
  3. Step 3: Cross multiply
    36,462x = 56,248.75 × 56,248.75
  4. Step 4: Simplify right side
    36,462x = 3,163,921,876.56
  5. Step 5: Solve for x
    x = 3,163,921,876.56/36,462
  6. Step 6: Final answer
    x = 86,773.13

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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.