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Finding the Third Proportional to 3,101.63 and 6,749.16

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Solution

The third proportional to 3,101.63 and 6,749.16 is: 14,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 6,749.16 = 6,749.16 : x
  2. Step 2: Convert to fraction form
    3,101.63/6,749.16 = 6,749.16/x
  3. Step 3: Cross multiply
    3,101.63x = 6,749.16 × 6,749.16
  4. Step 4: Simplify right side
    3,101.63x = 45,551,110.09
  5. Step 5: Solve for x
    x = 45,551,110.09/3,101.63
  6. Step 6: Final answer
    x = 14,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.