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Finding the Third Proportional to 11,952 and 13,046

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Solution

The third proportional to 11,952 and 13,046 is: 14,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 13,046 = 13,046 : x
  2. Step 2: Convert to fraction form
    11,952/13,046 = 13,046/x
  3. Step 3: Cross multiply
    11,952x = 13,046 × 13,046
  4. Step 4: Simplify right side
    11,952x = 170,198,116
  5. Step 5: Solve for x
    x = 170,198,116/11,952
  6. Step 6: Final answer
    x = 14,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.