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Finding the Third Proportional to 661.61 and 1,433.32

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Solution

The third proportional to 661.61 and 1,433.32 is: 3,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.61 : 1,433.32 = 1,433.32 : x
  2. Step 2: Convert to fraction form
    661.61/1,433.32 = 1,433.32/x
  3. Step 3: Cross multiply
    661.61x = 1,433.32 × 1,433.32
  4. Step 4: Simplify right side
    661.61x = 2,054,407.12
  5. Step 5: Solve for x
    x = 2,054,407.12/661.61
  6. Step 6: Final answer
    x = 3,105.18

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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.