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Finding the Third Proportional to 6,263.16 and 13,345.59

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Solution

The third proportional to 6,263.16 and 13,345.59 is: 28,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.16 : 13,345.59 = 13,345.59 : x
  2. Step 2: Convert to fraction form
    6,263.16/13,345.59 = 13,345.59/x
  3. Step 3: Cross multiply
    6,263.16x = 13,345.59 × 13,345.59
  4. Step 4: Simplify right side
    6,263.16x = 178,104,872.54
  5. Step 5: Solve for x
    x = 178,104,872.54/6,263.16
  6. Step 6: Final answer
    x = 28,436.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.