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Finding the Third Proportional to 6,074.05 and 13,275.77

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Solution

The third proportional to 6,074.05 and 13,275.77 is: 29,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.05 : 13,275.77 = 13,275.77 : x
  2. Step 2: Convert to fraction form
    6,074.05/13,275.77 = 13,275.77/x
  3. Step 3: Cross multiply
    6,074.05x = 13,275.77 × 13,275.77
  4. Step 4: Simplify right side
    6,074.05x = 176,246,160.36
  5. Step 5: Solve for x
    x = 176,246,160.36/6,074.05
  6. Step 6: Final answer
    x = 29,016.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.