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Finding the Third Proportional to 9,351 and 21,649.50

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Solution

The third proportional to 9,351 and 21,649.50 is: 50,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 21,649.50 = 21,649.50 : x
  2. Step 2: Convert to fraction form
    9,351/21,649.50 = 21,649.50/x
  3. Step 3: Cross multiply
    9,351x = 21,649.50 × 21,649.50
  4. Step 4: Simplify right side
    9,351x = 468,700,850.25
  5. Step 5: Solve for x
    x = 468,700,850.25/9,351
  6. Step 6: Final answer
    x = 50,123.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.