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Finding the Third Proportional to 36,858 and 56,657

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Solution

The third proportional to 36,858 and 56,657 is: 87,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858 : 56,657 = 56,657 : x
  2. Step 2: Convert to fraction form
    36,858/56,657 = 56,657/x
  3. Step 3: Cross multiply
    36,858x = 56,657 × 56,657
  4. Step 4: Simplify right side
    36,858x = 3,210,015,649
  5. Step 5: Solve for x
    x = 3,210,015,649/36,858
  6. Step 6: Final answer
    x = 87,091.42

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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.