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Finding the Third Proportional to 2,707.13 and 6,029.06

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Solution

The third proportional to 2,707.13 and 6,029.06 is: 13,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.13 : 6,029.06 = 6,029.06 : x
  2. Step 2: Convert to fraction form
    2,707.13/6,029.06 = 6,029.06/x
  3. Step 3: Cross multiply
    2,707.13x = 6,029.06 × 6,029.06
  4. Step 4: Simplify right side
    2,707.13x = 36,349,594.63
  5. Step 5: Solve for x
    x = 36,349,594.63/2,707.13
  6. Step 6: Final answer
    x = 13,427.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.