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Finding the Third Proportional to 2,256.61 and 4,727.74

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Solution

The third proportional to 2,256.61 and 4,727.74 is: 9,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.61 : 4,727.74 = 4,727.74 : x
  2. Step 2: Convert to fraction form
    2,256.61/4,727.74 = 4,727.74/x
  3. Step 3: Cross multiply
    2,256.61x = 4,727.74 × 4,727.74
  4. Step 4: Simplify right side
    2,256.61x = 22,351,546.19
  5. Step 5: Solve for x
    x = 22,351,546.19/2,256.61
  6. Step 6: Final answer
    x = 9,904.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.