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Finding the Third Proportional to 7,802 and 11,787

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Solution

The third proportional to 7,802 and 11,787 is: 17,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 11,787 = 11,787 : x
  2. Step 2: Convert to fraction form
    7,802/11,787 = 11,787/x
  3. Step 3: Cross multiply
    7,802x = 11,787 × 11,787
  4. Step 4: Simplify right side
    7,802x = 138,933,369
  5. Step 5: Solve for x
    x = 138,933,369/7,802
  6. Step 6: Final answer
    x = 17,807.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.