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Finding the Third Proportional to 36,384 and 56,370

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Solution

The third proportional to 36,384 and 56,370 is: 87,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 56,370 = 56,370 : x
  2. Step 2: Convert to fraction form
    36,384/56,370 = 56,370/x
  3. Step 3: Cross multiply
    36,384x = 56,370 × 56,370
  4. Step 4: Simplify right side
    36,384x = 3,177,576,900
  5. Step 5: Solve for x
    x = 3,177,576,900/36,384
  6. Step 6: Final answer
    x = 87,334.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.