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Finding the Third Proportional to 9,711 and 16,114.50

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Solution

The third proportional to 9,711 and 16,114.50 is: 26,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 16,114.50 = 16,114.50 : x
  2. Step 2: Convert to fraction form
    9,711/16,114.50 = 16,114.50/x
  3. Step 3: Cross multiply
    9,711x = 16,114.50 × 16,114.50
  4. Step 4: Simplify right side
    9,711x = 259,677,110.25
  5. Step 5: Solve for x
    x = 259,677,110.25/9,711
  6. Step 6: Final answer
    x = 26,740.51

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.