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Finding the Third Proportional to 2,366.25 and 5,117.25

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Solution

The third proportional to 2,366.25 and 5,117.25 is: 11,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.25 : 5,117.25 = 5,117.25 : x
  2. Step 2: Convert to fraction form
    2,366.25/5,117.25 = 5,117.25/x
  3. Step 3: Cross multiply
    2,366.25x = 5,117.25 × 5,117.25
  4. Step 4: Simplify right side
    2,366.25x = 26,186,247.56
  5. Step 5: Solve for x
    x = 26,186,247.56/2,366.25
  6. Step 6: Final answer
    x = 11,066.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.