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Finding the Third Proportional to 5,996 and 7,858

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Solution

The third proportional to 5,996 and 7,858 is: 10,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 7,858 = 7,858 : x
  2. Step 2: Convert to fraction form
    5,996/7,858 = 7,858/x
  3. Step 3: Cross multiply
    5,996x = 7,858 × 7,858
  4. Step 4: Simplify right side
    5,996x = 61,748,164
  5. Step 5: Solve for x
    x = 61,748,164/5,996
  6. Step 6: Final answer
    x = 10,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.