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Finding the Third Proportional to 10,354 and 14,967

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Solution

The third proportional to 10,354 and 14,967 is: 21,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354 : 14,967 = 14,967 : x
  2. Step 2: Convert to fraction form
    10,354/14,967 = 14,967/x
  3. Step 3: Cross multiply
    10,354x = 14,967 × 14,967
  4. Step 4: Simplify right side
    10,354x = 224,011,089
  5. Step 5: Solve for x
    x = 224,011,089/10,354
  6. Step 6: Final answer
    x = 21,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.