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Finding the Third Proportional to 3,031.17 and 6,581.25

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Solution

The third proportional to 3,031.17 and 6,581.25 is: 14,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.17 : 6,581.25 = 6,581.25 : x
  2. Step 2: Convert to fraction form
    3,031.17/6,581.25 = 6,581.25/x
  3. Step 3: Cross multiply
    3,031.17x = 6,581.25 × 6,581.25
  4. Step 4: Simplify right side
    3,031.17x = 43,312,851.56
  5. Step 5: Solve for x
    x = 43,312,851.56/3,031.17
  6. Step 6: Final answer
    x = 14,289.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.