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Finding the Third Proportional to 30,374 and 65,740

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Solution

The third proportional to 30,374 and 65,740 is: 142,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374 : 65,740 = 65,740 : x
  2. Step 2: Convert to fraction form
    30,374/65,740 = 65,740/x
  3. Step 3: Cross multiply
    30,374x = 65,740 × 65,740
  4. Step 4: Simplify right side
    30,374x = 4,321,747,600
  5. Step 5: Solve for x
    x = 4,321,747,600/30,374
  6. Step 6: Final answer
    x = 142,284.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.