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Finding the Third Proportional to 482.25 and 1,071.75

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Solution

The third proportional to 482.25 and 1,071.75 is: 2,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 1,071.75 = 1,071.75 : x
  2. Step 2: Convert to fraction form
    482.25/1,071.75 = 1,071.75/x
  3. Step 3: Cross multiply
    482.25x = 1,071.75 × 1,071.75
  4. Step 4: Simplify right side
    482.25x = 1,148,648.06
  5. Step 5: Solve for x
    x = 1,148,648.06/482.25
  6. Step 6: Final answer
    x = 2,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.