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Finding the Third Proportional to 36,784 and 56,360

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Solution

The third proportional to 36,784 and 56,360 is: 86,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 56,360 = 56,360 : x
  2. Step 2: Convert to fraction form
    36,784/56,360 = 56,360/x
  3. Step 3: Cross multiply
    36,784x = 56,360 × 56,360
  4. Step 4: Simplify right side
    36,784x = 3,176,449,600
  5. Step 5: Solve for x
    x = 3,176,449,600/36,784
  6. Step 6: Final answer
    x = 86,354.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.