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Finding the Third Proportional to 7,862 and 11,012

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Solution

The third proportional to 7,862 and 11,012 is: 15,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862 : 11,012 = 11,012 : x
  2. Step 2: Convert to fraction form
    7,862/11,012 = 11,012/x
  3. Step 3: Cross multiply
    7,862x = 11,012 × 11,012
  4. Step 4: Simplify right side
    7,862x = 121,264,144
  5. Step 5: Solve for x
    x = 121,264,144/7,862
  6. Step 6: Final answer
    x = 15,424.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.