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Finding the Third Proportional to 1,308.75 and 2,031.75

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Solution

The third proportional to 1,308.75 and 2,031.75 is: 3,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.75 : 2,031.75 = 2,031.75 : x
  2. Step 2: Convert to fraction form
    1,308.75/2,031.75 = 2,031.75/x
  3. Step 3: Cross multiply
    1,308.75x = 2,031.75 × 2,031.75
  4. Step 4: Simplify right side
    1,308.75x = 4,128,008.06
  5. Step 5: Solve for x
    x = 4,128,008.06/1,308.75
  6. Step 6: Final answer
    x = 3,154.16

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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.