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Finding the Third Proportional to 4,727.11 and 7,291.90

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Solution

The third proportional to 4,727.11 and 7,291.90 is: 11,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.11 : 7,291.90 = 7,291.90 : x
  2. Step 2: Convert to fraction form
    4,727.11/7,291.90 = 7,291.90/x
  3. Step 3: Cross multiply
    4,727.11x = 7,291.90 × 7,291.90
  4. Step 4: Simplify right side
    4,727.11x = 53,171,782.82
  5. Step 5: Solve for x
    x = 53,171,782.82/4,727.11
  6. Step 6: Final answer
    x = 11,248.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.