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Finding the Third Proportional to 13,047 and 14,967

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Solution

The third proportional to 13,047 and 14,967 is: 17,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047 : 14,967 = 14,967 : x
  2. Step 2: Convert to fraction form
    13,047/14,967 = 14,967/x
  3. Step 3: Cross multiply
    13,047x = 14,967 × 14,967
  4. Step 4: Simplify right side
    13,047x = 224,011,089
  5. Step 5: Solve for x
    x = 224,011,089/13,047
  6. Step 6: Final answer
    x = 17,169.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.