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Finding the Third Proportional to 36,960 and 56,808

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Solution

The third proportional to 36,960 and 56,808 is: 87,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 56,808 = 56,808 : x
  2. Step 2: Convert to fraction form
    36,960/56,808 = 56,808/x
  3. Step 3: Cross multiply
    36,960x = 56,808 × 56,808
  4. Step 4: Simplify right side
    36,960x = 3,227,148,864
  5. Step 5: Solve for x
    x = 3,227,148,864/36,960
  6. Step 6: Final answer
    x = 87,314.63

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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.