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Finding the Third Proportional to 5,320.69 and 7,054.59

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Solution

The third proportional to 5,320.69 and 7,054.59 is: 9,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 7,054.59 = 7,054.59 : x
  2. Step 2: Convert to fraction form
    5,320.69/7,054.59 = 7,054.59/x
  3. Step 3: Cross multiply
    5,320.69x = 7,054.59 × 7,054.59
  4. Step 4: Simplify right side
    5,320.69x = 49,767,292.98
  5. Step 5: Solve for x
    x = 49,767,292.98/5,320.69
  6. Step 6: Final answer
    x = 9,353.55

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.