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Finding the Third Proportional to 9,351 and 23,179.50

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Solution

The third proportional to 9,351 and 23,179.50 is: 57,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 23,179.50 = 23,179.50 : x
  2. Step 2: Convert to fraction form
    9,351/23,179.50 = 23,179.50/x
  3. Step 3: Cross multiply
    9,351x = 23,179.50 × 23,179.50
  4. Step 4: Simplify right side
    9,351x = 537,289,220.25
  5. Step 5: Solve for x
    x = 537,289,220.25/9,351
  6. Step 6: Final answer
    x = 57,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.