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Finding the Third Proportional to 975.09 and 2,116.69

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Solution

The third proportional to 975.09 and 2,116.69 is: 4,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 2,116.69 = 2,116.69 : x
  2. Step 2: Convert to fraction form
    975.09/2,116.69 = 2,116.69/x
  3. Step 3: Cross multiply
    975.09x = 2,116.69 × 2,116.69
  4. Step 4: Simplify right side
    975.09x = 4,480,365.97
  5. Step 5: Solve for x
    x = 4,480,365.97/975.09
  6. Step 6: Final answer
    x = 4,594.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.