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Finding the Third Proportional to 23,695 and 54,854.50

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Solution

The third proportional to 23,695 and 54,854.50 is: 126,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695 : 54,854.50 = 54,854.50 : x
  2. Step 2: Convert to fraction form
    23,695/54,854.50 = 54,854.50/x
  3. Step 3: Cross multiply
    23,695x = 54,854.50 × 54,854.50
  4. Step 4: Simplify right side
    23,695x = 3,009,016,170.25
  5. Step 5: Solve for x
    x = 3,009,016,170.25/23,695
  6. Step 6: Final answer
    x = 126,989.50

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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.