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Finding the Third Proportional to 1,975.22 and 4,561.17

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Solution

The third proportional to 1,975.22 and 4,561.17 is: 10,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.22 : 4,561.17 = 4,561.17 : x
  2. Step 2: Convert to fraction form
    1,975.22/4,561.17 = 4,561.17/x
  3. Step 3: Cross multiply
    1,975.22x = 4,561.17 × 4,561.17
  4. Step 4: Simplify right side
    1,975.22x = 20,804,288.87
  5. Step 5: Solve for x
    x = 20,804,288.87/1,975.22
  6. Step 6: Final answer
    x = 10,532.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.