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Finding the Third Proportional to 32,980 and 70,900

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Solution

The third proportional to 32,980 and 70,900 is: 152,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980 : 70,900 = 70,900 : x
  2. Step 2: Convert to fraction form
    32,980/70,900 = 70,900/x
  3. Step 3: Cross multiply
    32,980x = 70,900 × 70,900
  4. Step 4: Simplify right side
    32,980x = 5,026,810,000
  5. Step 5: Solve for x
    x = 5,026,810,000/32,980
  6. Step 6: Final answer
    x = 152,419.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.