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Finding the Third Proportional to 5,578.56 and 6,496.93

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Solution

The third proportional to 5,578.56 and 6,496.93 is: 7,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.56 : 6,496.93 = 6,496.93 : x
  2. Step 2: Convert to fraction form
    5,578.56/6,496.93 = 6,496.93/x
  3. Step 3: Cross multiply
    5,578.56x = 6,496.93 × 6,496.93
  4. Step 4: Simplify right side
    5,578.56x = 42,210,069.99
  5. Step 5: Solve for x
    x = 42,210,069.99/5,578.56
  6. Step 6: Final answer
    x = 7,566.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.