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Finding the Third Proportional to 15,176 and 22,808

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Solution

The third proportional to 15,176 and 22,808 is: 34,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176 : 22,808 = 22,808 : x
  2. Step 2: Convert to fraction form
    15,176/22,808 = 22,808/x
  3. Step 3: Cross multiply
    15,176x = 22,808 × 22,808
  4. Step 4: Simplify right side
    15,176x = 520,204,864
  5. Step 5: Solve for x
    x = 520,204,864/15,176
  6. Step 6: Final answer
    x = 34,278.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.