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Finding the Third Proportional to 2,746.13 and 6,107.63

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Solution

The third proportional to 2,746.13 and 6,107.63 is: 13,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.13 : 6,107.63 = 6,107.63 : x
  2. Step 2: Convert to fraction form
    2,746.13/6,107.63 = 6,107.63/x
  3. Step 3: Cross multiply
    2,746.13x = 6,107.63 × 6,107.63
  4. Step 4: Simplify right side
    2,746.13x = 37,303,083.14
  5. Step 5: Solve for x
    x = 37,303,083.14/2,746.13
  6. Step 6: Final answer
    x = 13,583.90

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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.