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Finding the Third Proportional to 1,020.76 and 2,236.04

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Solution

The third proportional to 1,020.76 and 2,236.04 is: 4,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.76 : 2,236.04 = 2,236.04 : x
  2. Step 2: Convert to fraction form
    1,020.76/2,236.04 = 2,236.04/x
  3. Step 3: Cross multiply
    1,020.76x = 2,236.04 × 2,236.04
  4. Step 4: Simplify right side
    1,020.76x = 4,999,888.16
  5. Step 5: Solve for x
    x = 4,999,888.16/1,020.76
  6. Step 6: Final answer
    x = 4,898.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.