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Finding the Third Proportional to 1,203.19 and 1,522.97

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Solution

The third proportional to 1,203.19 and 1,522.97 is: 1,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.19 : 1,522.97 = 1,522.97 : x
  2. Step 2: Convert to fraction form
    1,203.19/1,522.97 = 1,522.97/x
  3. Step 3: Cross multiply
    1,203.19x = 1,522.97 × 1,522.97
  4. Step 4: Simplify right side
    1,203.19x = 2,319,433.81
  5. Step 5: Solve for x
    x = 2,319,433.81/1,203.19
  6. Step 6: Final answer
    x = 1,927.74

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.