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Finding the Third Proportional to 10,952 and 11,816

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Solution

The third proportional to 10,952 and 11,816 is: 12,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952 : 11,816 = 11,816 : x
  2. Step 2: Convert to fraction form
    10,952/11,816 = 11,816/x
  3. Step 3: Cross multiply
    10,952x = 11,816 × 11,816
  4. Step 4: Simplify right side
    10,952x = 139,617,856
  5. Step 5: Solve for x
    x = 139,617,856/10,952
  6. Step 6: Final answer
    x = 12,748.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.