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Finding the Third Proportional to 975.69 and 2,090.81

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Solution

The third proportional to 975.69 and 2,090.81 is: 4,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.69 : 2,090.81 = 2,090.81 : x
  2. Step 2: Convert to fraction form
    975.69/2,090.81 = 2,090.81/x
  3. Step 3: Cross multiply
    975.69x = 2,090.81 × 2,090.81
  4. Step 4: Simplify right side
    975.69x = 4,371,496.91
  5. Step 5: Solve for x
    x = 4,371,496.91/975.69
  6. Step 6: Final answer
    x = 4,480.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.