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Finding the Third Proportional to 670.13 and 1,456.13

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Solution

The third proportional to 670.13 and 1,456.13 is: 3,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.13 : 1,456.13 = 1,456.13 : x
  2. Step 2: Convert to fraction form
    670.13/1,456.13 = 1,456.13/x
  3. Step 3: Cross multiply
    670.13x = 1,456.13 × 1,456.13
  4. Step 4: Simplify right side
    670.13x = 2,120,300.02
  5. Step 5: Solve for x
    x = 2,120,300.02/670.13
  6. Step 6: Final answer
    x = 3,164.04

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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.