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Finding the Third Proportional to 3,041.93 and 6,538.85

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Solution

The third proportional to 3,041.93 and 6,538.85 is: 14,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.93 : 6,538.85 = 6,538.85 : x
  2. Step 2: Convert to fraction form
    3,041.93/6,538.85 = 6,538.85/x
  3. Step 3: Cross multiply
    3,041.93x = 6,538.85 × 6,538.85
  4. Step 4: Simplify right side
    3,041.93x = 42,756,579.76
  5. Step 5: Solve for x
    x = 42,756,579.76/3,041.93
  6. Step 6: Final answer
    x = 14,055.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.