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Finding the Third Proportional to 1,031 and 2,133.50

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Solution

The third proportional to 1,031 and 2,133.50 is: 4,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031 : 2,133.50 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    1,031/2,133.50 = 2,133.50/x
  3. Step 3: Cross multiply
    1,031x = 2,133.50 × 2,133.50
  4. Step 4: Simplify right side
    1,031x = 4,551,822.25
  5. Step 5: Solve for x
    x = 4,551,822.25/1,031
  6. Step 6: Final answer
    x = 4,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.