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Finding the Third Proportional to 3,133 and 7,008.50

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Solution

The third proportional to 3,133 and 7,008.50 is: 15,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 7,008.50 = 7,008.50 : x
  2. Step 2: Convert to fraction form
    3,133/7,008.50 = 7,008.50/x
  3. Step 3: Cross multiply
    3,133x = 7,008.50 × 7,008.50
  4. Step 4: Simplify right side
    3,133x = 49,119,072.25
  5. Step 5: Solve for x
    x = 49,119,072.25/3,133
  6. Step 6: Final answer
    x = 15,677.97

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.