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Finding the Third Proportional to 1,491.12 and 3,242.32

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Solution

The third proportional to 1,491.12 and 3,242.32 is: 7,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.12 : 3,242.32 = 3,242.32 : x
  2. Step 2: Convert to fraction form
    1,491.12/3,242.32 = 3,242.32/x
  3. Step 3: Cross multiply
    1,491.12x = 3,242.32 × 3,242.32
  4. Step 4: Simplify right side
    1,491.12x = 10,512,641.01
  5. Step 5: Solve for x
    x = 10,512,641.01/1,491.12
  6. Step 6: Final answer
    x = 7,050.18

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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.