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Finding the Third Proportional to 5,007 and 7,043.25

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Solution

The third proportional to 5,007 and 7,043.25 is: 9,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007 : 7,043.25 = 7,043.25 : x
  2. Step 2: Convert to fraction form
    5,007/7,043.25 = 7,043.25/x
  3. Step 3: Cross multiply
    5,007x = 7,043.25 × 7,043.25
  4. Step 4: Simplify right side
    5,007x = 49,607,370.56
  5. Step 5: Solve for x
    x = 49,607,370.56/5,007
  6. Step 6: Final answer
    x = 9,907.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.