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Finding the Third Proportional to 5,878.50 and 9,003

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Solution

The third proportional to 5,878.50 and 9,003 is: 13,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.50 : 9,003 = 9,003 : x
  2. Step 2: Convert to fraction form
    5,878.50/9,003 = 9,003/x
  3. Step 3: Cross multiply
    5,878.50x = 9,003 × 9,003
  4. Step 4: Simplify right side
    5,878.50x = 81,054,009
  5. Step 5: Solve for x
    x = 81,054,009/5,878.50
  6. Step 6: Final answer
    x = 13,788.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.