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Finding the Third Proportional to 1,262.14 and 1,806.68

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Solution

The third proportional to 1,262.14 and 1,806.68 is: 2,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.14 : 1,806.68 = 1,806.68 : x
  2. Step 2: Convert to fraction form
    1,262.14/1,806.68 = 1,806.68/x
  3. Step 3: Cross multiply
    1,262.14x = 1,806.68 × 1,806.68
  4. Step 4: Simplify right side
    1,262.14x = 3,264,091.49
  5. Step 5: Solve for x
    x = 3,264,091.49/1,262.14
  6. Step 6: Final answer
    x = 2,586.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.