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Finding the Third Proportional to 6,574.78 and 14,263.88

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Solution

The third proportional to 6,574.78 and 14,263.88 is: 30,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.78 : 14,263.88 = 14,263.88 : x
  2. Step 2: Convert to fraction form
    6,574.78/14,263.88 = 14,263.88/x
  3. Step 3: Cross multiply
    6,574.78x = 14,263.88 × 14,263.88
  4. Step 4: Simplify right side
    6,574.78x = 203,458,130.02
  5. Step 5: Solve for x
    x = 203,458,130.02/6,574.78
  6. Step 6: Final answer
    x = 30,945.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.