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Finding the Third Proportional to 4,500.56 and 6,817.92

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Solution

The third proportional to 4,500.56 and 6,817.92 is: 10,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.56 : 6,817.92 = 6,817.92 : x
  2. Step 2: Convert to fraction form
    4,500.56/6,817.92 = 6,817.92/x
  3. Step 3: Cross multiply
    4,500.56x = 6,817.92 × 6,817.92
  4. Step 4: Simplify right side
    4,500.56x = 46,484,058.69
  5. Step 5: Solve for x
    x = 46,484,058.69/4,500.56
  6. Step 6: Final answer
    x = 10,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.