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Finding the Third Proportional to 5,117.63 and 6,947.44

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Solution

The third proportional to 5,117.63 and 6,947.44 is: 9,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.63 : 6,947.44 = 6,947.44 : x
  2. Step 2: Convert to fraction form
    5,117.63/6,947.44 = 6,947.44/x
  3. Step 3: Cross multiply
    5,117.63x = 6,947.44 × 6,947.44
  4. Step 4: Simplify right side
    5,117.63x = 48,266,887.82
  5. Step 5: Solve for x
    x = 48,266,887.82/5,117.63
  6. Step 6: Final answer
    x = 9,431.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.