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Finding the Third Proportional to 2,490.75 and 3,964.13

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Solution

The third proportional to 2,490.75 and 3,964.13 is: 6,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.75 : 3,964.13 = 3,964.13 : x
  2. Step 2: Convert to fraction form
    2,490.75/3,964.13 = 3,964.13/x
  3. Step 3: Cross multiply
    2,490.75x = 3,964.13 × 3,964.13
  4. Step 4: Simplify right side
    2,490.75x = 15,714,287.02
  5. Step 5: Solve for x
    x = 15,714,287.02/2,490.75
  6. Step 6: Final answer
    x = 6,309.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.