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Finding the Third Proportional to 32,780 and 70,914

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Solution

The third proportional to 32,780 and 70,914 is: 153,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780 : 70,914 = 70,914 : x
  2. Step 2: Convert to fraction form
    32,780/70,914 = 70,914/x
  3. Step 3: Cross multiply
    32,780x = 70,914 × 70,914
  4. Step 4: Simplify right side
    32,780x = 5,028,795,396
  5. Step 5: Solve for x
    x = 5,028,795,396/32,780
  6. Step 6: Final answer
    x = 153,410.48

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