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Finding the Third Proportional to 5,277.84 and 7,422.19

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Solution

The third proportional to 5,277.84 and 7,422.19 is: 10,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.84 : 7,422.19 = 7,422.19 : x
  2. Step 2: Convert to fraction form
    5,277.84/7,422.19 = 7,422.19/x
  3. Step 3: Cross multiply
    5,277.84x = 7,422.19 × 7,422.19
  4. Step 4: Simplify right side
    5,277.84x = 55,088,867.29
  5. Step 5: Solve for x
    x = 55,088,867.29/5,277.84
  6. Step 6: Final answer
    x = 10,437.76

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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.