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Finding the Third Proportional to 24,300 and 36,286

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Solution

The third proportional to 24,300 and 36,286 is: 54,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 36,286 = 36,286 : x
  2. Step 2: Convert to fraction form
    24,300/36,286 = 36,286/x
  3. Step 3: Cross multiply
    24,300x = 36,286 × 36,286
  4. Step 4: Simplify right side
    24,300x = 1,316,673,796
  5. Step 5: Solve for x
    x = 1,316,673,796/24,300
  6. Step 6: Final answer
    x = 54,184.11

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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.