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Finding the Third Proportional to 10,424 and 14,884

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Solution

The third proportional to 10,424 and 14,884 is: 21,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 14,884 = 14,884 : x
  2. Step 2: Convert to fraction form
    10,424/14,884 = 14,884/x
  3. Step 3: Cross multiply
    10,424x = 14,884 × 14,884
  4. Step 4: Simplify right side
    10,424x = 221,533,456
  5. Step 5: Solve for x
    x = 221,533,456/10,424
  6. Step 6: Final answer
    x = 21,252.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.