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Finding the Third Proportional to 1,031.09 and 1,595.40

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Solution

The third proportional to 1,031.09 and 1,595.40 is: 2,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.09 : 1,595.40 = 1,595.40 : x
  2. Step 2: Convert to fraction form
    1,031.09/1,595.40 = 1,595.40/x
  3. Step 3: Cross multiply
    1,031.09x = 1,595.40 × 1,595.40
  4. Step 4: Simplify right side
    1,031.09x = 2,545,299.29
  5. Step 5: Solve for x
    x = 2,545,299.29/1,031.09
  6. Step 6: Final answer
    x = 2,468.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.