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Finding the Third Proportional to 10,228 and 14,480

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Solution

The third proportional to 10,228 and 14,480 is: 20,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 14,480 = 14,480 : x
  2. Step 2: Convert to fraction form
    10,228/14,480 = 14,480/x
  3. Step 3: Cross multiply
    10,228x = 14,480 × 14,480
  4. Step 4: Simplify right side
    10,228x = 209,670,400
  5. Step 5: Solve for x
    x = 209,670,400/10,228
  6. Step 6: Final answer
    x = 20,499.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.