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Finding the Third Proportional to 2,275.59 and 4,976.16

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Solution

The third proportional to 2,275.59 and 4,976.16 is: 10,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.59 : 4,976.16 = 4,976.16 : x
  2. Step 2: Convert to fraction form
    2,275.59/4,976.16 = 4,976.16/x
  3. Step 3: Cross multiply
    2,275.59x = 4,976.16 × 4,976.16
  4. Step 4: Simplify right side
    2,275.59x = 24,762,131.02
  5. Step 5: Solve for x
    x = 24,762,131.02/2,275.59
  6. Step 6: Final answer
    x = 10,881.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.