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Finding the Third Proportional to 11,653 and 14,967

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Solution

The third proportional to 11,653 and 14,967 is: 19,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653 : 14,967 = 14,967 : x
  2. Step 2: Convert to fraction form
    11,653/14,967 = 14,967/x
  3. Step 3: Cross multiply
    11,653x = 14,967 × 14,967
  4. Step 4: Simplify right side
    11,653x = 224,011,089
  5. Step 5: Solve for x
    x = 224,011,089/11,653
  6. Step 6: Final answer
    x = 19,223.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.