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Finding the Third Proportional to 23,353.50 and 51,196.13

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Solution

The third proportional to 23,353.50 and 51,196.13 is: 112,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.50 : 51,196.13 = 51,196.13 : x
  2. Step 2: Convert to fraction form
    23,353.50/51,196.13 = 51,196.13/x
  3. Step 3: Cross multiply
    23,353.50x = 51,196.13 × 51,196.13
  4. Step 4: Simplify right side
    23,353.50x = 2,621,043,215.02
  5. Step 5: Solve for x
    x = 2,621,043,215.02/23,353.50
  6. Step 6: Final answer
    x = 112,233.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.