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Finding the Third Proportional to 33,740 and 48,602

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Solution

The third proportional to 33,740 and 48,602 is: 70,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740 : 48,602 = 48,602 : x
  2. Step 2: Convert to fraction form
    33,740/48,602 = 48,602/x
  3. Step 3: Cross multiply
    33,740x = 48,602 × 48,602
  4. Step 4: Simplify right side
    33,740x = 2,362,154,404
  5. Step 5: Solve for x
    x = 2,362,154,404/33,740
  6. Step 6: Final answer
    x = 70,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.