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Finding the Third Proportional to 23,740 and 36,905

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Solution

The third proportional to 23,740 and 36,905 is: 57,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740 : 36,905 = 36,905 : x
  2. Step 2: Convert to fraction form
    23,740/36,905 = 36,905/x
  3. Step 3: Cross multiply
    23,740x = 36,905 × 36,905
  4. Step 4: Simplify right side
    23,740x = 1,361,979,025
  5. Step 5: Solve for x
    x = 1,361,979,025/23,740
  6. Step 6: Final answer
    x = 57,370.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.