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Finding the Third Proportional to 12,711 and 29,693.25

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Solution

The third proportional to 12,711 and 29,693.25 is: 69,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 29,693.25 = 29,693.25 : x
  2. Step 2: Convert to fraction form
    12,711/29,693.25 = 29,693.25/x
  3. Step 3: Cross multiply
    12,711x = 29,693.25 × 29,693.25
  4. Step 4: Simplify right side
    12,711x = 881,689,095.56
  5. Step 5: Solve for x
    x = 881,689,095.56/12,711
  6. Step 6: Final answer
    x = 69,364.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.