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Finding the Third Proportional to 1,509.75 and 2,031.56

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Solution

The third proportional to 1,509.75 and 2,031.56 is: 2,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.75 : 2,031.56 = 2,031.56 : x
  2. Step 2: Convert to fraction form
    1,509.75/2,031.56 = 2,031.56/x
  3. Step 3: Cross multiply
    1,509.75x = 2,031.56 × 2,031.56
  4. Step 4: Simplify right side
    1,509.75x = 4,127,246.19
  5. Step 5: Solve for x
    x = 4,127,246.19/1,509.75
  6. Step 6: Final answer
    x = 2,733.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.