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Finding the Third Proportional to 22,925 and 36,479

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Solution

The third proportional to 22,925 and 36,479 is: 58,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925 : 36,479 = 36,479 : x
  2. Step 2: Convert to fraction form
    22,925/36,479 = 36,479/x
  3. Step 3: Cross multiply
    22,925x = 36,479 × 36,479
  4. Step 4: Simplify right side
    22,925x = 1,330,717,441
  5. Step 5: Solve for x
    x = 1,330,717,441/22,925
  6. Step 6: Final answer
    x = 58,046.56

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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.