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Finding the Third Proportional to 36,386 and 54,354

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Solution

The third proportional to 36,386 and 54,354 is: 81,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,386 : 54,354 = 54,354 : x
  2. Step 2: Convert to fraction form
    36,386/54,354 = 54,354/x
  3. Step 3: Cross multiply
    36,386x = 54,354 × 54,354
  4. Step 4: Simplify right side
    36,386x = 2,954,357,316
  5. Step 5: Solve for x
    x = 2,954,357,316/36,386
  6. Step 6: Final answer
    x = 81,194.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.