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Finding the Third Proportional to 975.80 and 1,465.59

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Solution

The third proportional to 975.80 and 1,465.59 is: 2,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,465.59 = 1,465.59 : x
  2. Step 2: Convert to fraction form
    975.80/1,465.59 = 1,465.59/x
  3. Step 3: Cross multiply
    975.80x = 1,465.59 × 1,465.59
  4. Step 4: Simplify right side
    975.80x = 2,147,965.04
  5. Step 5: Solve for x
    x = 2,147,965.04/975.80
  6. Step 6: Final answer
    x = 2,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.