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Finding the Third Proportional to 1,774.13 and 4,806.56

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Solution

The third proportional to 1,774.13 and 4,806.56 is: 13,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.13 : 4,806.56 = 4,806.56 : x
  2. Step 2: Convert to fraction form
    1,774.13/4,806.56 = 4,806.56/x
  3. Step 3: Cross multiply
    1,774.13x = 4,806.56 × 4,806.56
  4. Step 4: Simplify right side
    1,774.13x = 23,103,043.07
  5. Step 5: Solve for x
    x = 23,103,043.07/1,774.13
  6. Step 6: Final answer
    x = 13,022.22

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.