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Finding the Third Proportional to 7,854 and 12,837

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Solution

The third proportional to 7,854 and 12,837 is: 20,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 12,837 = 12,837 : x
  2. Step 2: Convert to fraction form
    7,854/12,837 = 12,837/x
  3. Step 3: Cross multiply
    7,854x = 12,837 × 12,837
  4. Step 4: Simplify right side
    7,854x = 164,788,569
  5. Step 5: Solve for x
    x = 164,788,569/7,854
  6. Step 6: Final answer
    x = 20,981.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.