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Finding the Third Proportional to 36,897 and 56,787

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Solution

The third proportional to 36,897 and 56,787 is: 87,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897 : 56,787 = 56,787 : x
  2. Step 2: Convert to fraction form
    36,897/56,787 = 56,787/x
  3. Step 3: Cross multiply
    36,897x = 56,787 × 56,787
  4. Step 4: Simplify right side
    36,897x = 3,224,763,369
  5. Step 5: Solve for x
    x = 3,224,763,369/36,897
  6. Step 6: Final answer
    x = 87,399.07

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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.