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Finding the Third Proportional to 9,033 and 13,033.50

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Solution

The third proportional to 9,033 and 13,033.50 is: 18,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033 : 13,033.50 = 13,033.50 : x
  2. Step 2: Convert to fraction form
    9,033/13,033.50 = 13,033.50/x
  3. Step 3: Cross multiply
    9,033x = 13,033.50 × 13,033.50
  4. Step 4: Simplify right side
    9,033x = 169,872,122.25
  5. Step 5: Solve for x
    x = 169,872,122.25/9,033
  6. Step 6: Final answer
    x = 18,805.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.