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Finding the Third Proportional to 7,858 and 12,875

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Solution

The third proportional to 7,858 and 12,875 is: 21,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 12,875 = 12,875 : x
  2. Step 2: Convert to fraction form
    7,858/12,875 = 12,875/x
  3. Step 3: Cross multiply
    7,858x = 12,875 × 12,875
  4. Step 4: Simplify right side
    7,858x = 165,765,625
  5. Step 5: Solve for x
    x = 165,765,625/7,858
  6. Step 6: Final answer
    x = 21,095.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.