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Finding the Third Proportional to 23,648 and 54,737

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Solution

The third proportional to 23,648 and 54,737 is: 126,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648 : 54,737 = 54,737 : x
  2. Step 2: Convert to fraction form
    23,648/54,737 = 54,737/x
  3. Step 3: Cross multiply
    23,648x = 54,737 × 54,737
  4. Step 4: Simplify right side
    23,648x = 2,996,139,169
  5. Step 5: Solve for x
    x = 2,996,139,169/23,648
  6. Step 6: Final answer
    x = 126,697.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.