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Finding the Third Proportional to 4,530.50 and 10,033

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Solution

The third proportional to 4,530.50 and 10,033 is: 22,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.50 : 10,033 = 10,033 : x
  2. Step 2: Convert to fraction form
    4,530.50/10,033 = 10,033/x
  3. Step 3: Cross multiply
    4,530.50x = 10,033 × 10,033
  4. Step 4: Simplify right side
    4,530.50x = 100,661,089
  5. Step 5: Solve for x
    x = 100,661,089/4,530.50
  6. Step 6: Final answer
    x = 22,218.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.