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Finding the Third Proportional to 3,033 and 5,374.50

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Solution

The third proportional to 3,033 and 5,374.50 is: 9,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033 : 5,374.50 = 5,374.50 : x
  2. Step 2: Convert to fraction form
    3,033/5,374.50 = 5,374.50/x
  3. Step 3: Cross multiply
    3,033x = 5,374.50 × 5,374.50
  4. Step 4: Simplify right side
    3,033x = 28,885,250.25
  5. Step 5: Solve for x
    x = 28,885,250.25/3,033
  6. Step 6: Final answer
    x = 9,523.66

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.