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Finding the Third Proportional to 2,385.07 and 5,290.95

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Solution

The third proportional to 2,385.07 and 5,290.95 is: 11,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.07 : 5,290.95 = 5,290.95 : x
  2. Step 2: Convert to fraction form
    2,385.07/5,290.95 = 5,290.95/x
  3. Step 3: Cross multiply
    2,385.07x = 5,290.95 × 5,290.95
  4. Step 4: Simplify right side
    2,385.07x = 27,994,102.30
  5. Step 5: Solve for x
    x = 27,994,102.30/2,385.07
  6. Step 6: Final answer
    x = 11,737.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.