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Finding the Third Proportional to 5,605.03 and 8,278.03

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Solution

The third proportional to 5,605.03 and 8,278.03 is: 12,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.03 : 8,278.03 = 8,278.03 : x
  2. Step 2: Convert to fraction form
    5,605.03/8,278.03 = 8,278.03/x
  3. Step 3: Cross multiply
    5,605.03x = 8,278.03 × 8,278.03
  4. Step 4: Simplify right side
    5,605.03x = 68,525,801.38
  5. Step 5: Solve for x
    x = 68,525,801.38/5,605.03
  6. Step 6: Final answer
    x = 12,225.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.