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Finding the Third Proportional to 22,927 and 36,482

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Solution

The third proportional to 22,927 and 36,482 is: 58,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927 : 36,482 = 36,482 : x
  2. Step 2: Convert to fraction form
    22,927/36,482 = 36,482/x
  3. Step 3: Cross multiply
    22,927x = 36,482 × 36,482
  4. Step 4: Simplify right side
    22,927x = 1,330,936,324
  5. Step 5: Solve for x
    x = 1,330,936,324/22,927
  6. Step 6: Final answer
    x = 58,051.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.