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Finding the Third Proportional to 1,972.55 and 4,336.17

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Solution

The third proportional to 1,972.55 and 4,336.17 is: 9,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.55 : 4,336.17 = 4,336.17 : x
  2. Step 2: Convert to fraction form
    1,972.55/4,336.17 = 4,336.17/x
  3. Step 3: Cross multiply
    1,972.55x = 4,336.17 × 4,336.17
  4. Step 4: Simplify right side
    1,972.55x = 18,802,386.53
  5. Step 5: Solve for x
    x = 18,802,386.53/1,972.55
  6. Step 6: Final answer
    x = 9,532.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.