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Finding the Third Proportional to 3,071 and 6,543.50

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Solution

The third proportional to 3,071 and 6,543.50 is: 13,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 6,543.50 = 6,543.50 : x
  2. Step 2: Convert to fraction form
    3,071/6,543.50 = 6,543.50/x
  3. Step 3: Cross multiply
    3,071x = 6,543.50 × 6,543.50
  4. Step 4: Simplify right side
    3,071x = 42,817,392.25
  5. Step 5: Solve for x
    x = 42,817,392.25/3,071
  6. Step 6: Final answer
    x = 13,942.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.