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Finding the Third Proportional to 10,014 and 14,963

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Solution

The third proportional to 10,014 and 14,963 is: 22,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 14,963 = 14,963 : x
  2. Step 2: Convert to fraction form
    10,014/14,963 = 14,963/x
  3. Step 3: Cross multiply
    10,014x = 14,963 × 14,963
  4. Step 4: Simplify right side
    10,014x = 223,891,369
  5. Step 5: Solve for x
    x = 223,891,369/10,014
  6. Step 6: Final answer
    x = 22,357.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.