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Finding the Third Proportional to 651.72 and 1,346.55

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Solution

The third proportional to 651.72 and 1,346.55 is: 2,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 1,346.55 = 1,346.55 : x
  2. Step 2: Convert to fraction form
    651.72/1,346.55 = 1,346.55/x
  3. Step 3: Cross multiply
    651.72x = 1,346.55 × 1,346.55
  4. Step 4: Simplify right side
    651.72x = 1,813,185.86
  5. Step 5: Solve for x
    x = 1,813,185.86/651.72
  6. Step 6: Final answer
    x = 2,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.