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Finding the Third Proportional to 6,711 and 14,575.50

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Solution

The third proportional to 6,711 and 14,575.50 is: 31,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 14,575.50 = 14,575.50 : x
  2. Step 2: Convert to fraction form
    6,711/14,575.50 = 14,575.50/x
  3. Step 3: Cross multiply
    6,711x = 14,575.50 × 14,575.50
  4. Step 4: Simplify right side
    6,711x = 212,445,200.25
  5. Step 5: Solve for x
    x = 212,445,200.25/6,711
  6. Step 6: Final answer
    x = 31,656.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.