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Finding the Third Proportional to 4,176.56 and 9,275.77

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Solution

The third proportional to 4,176.56 and 9,275.77 is: 20,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 9,275.77 = 9,275.77 : x
  2. Step 2: Convert to fraction form
    4,176.56/9,275.77 = 9,275.77/x
  3. Step 3: Cross multiply
    4,176.56x = 9,275.77 × 9,275.77
  4. Step 4: Simplify right side
    4,176.56x = 86,039,827.93
  5. Step 5: Solve for x
    x = 86,039,827.93/4,176.56
  6. Step 6: Final answer
    x = 20,600.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.