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Finding the Third Proportional to 4,209 and 9,253.50

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Solution

The third proportional to 4,209 and 9,253.50 is: 20,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 9,253.50 = 9,253.50 : x
  2. Step 2: Convert to fraction form
    4,209/9,253.50 = 9,253.50/x
  3. Step 3: Cross multiply
    4,209x = 9,253.50 × 9,253.50
  4. Step 4: Simplify right side
    4,209x = 85,627,262.25
  5. Step 5: Solve for x
    x = 85,627,262.25/4,209
  6. Step 6: Final answer
    x = 20,343.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.