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Finding the Third Proportional to 3,231 and 7,045.50

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Solution

The third proportional to 3,231 and 7,045.50 is: 15,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 7,045.50 = 7,045.50 : x
  2. Step 2: Convert to fraction form
    3,231/7,045.50 = 7,045.50/x
  3. Step 3: Cross multiply
    3,231x = 7,045.50 × 7,045.50
  4. Step 4: Simplify right side
    3,231x = 49,639,070.25
  5. Step 5: Solve for x
    x = 49,639,070.25/3,231
  6. Step 6: Final answer
    x = 15,363.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.