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Finding the Third Proportional to 32,898 and 70,980

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Solution

The third proportional to 32,898 and 70,980 is: 153,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898 : 70,980 = 70,980 : x
  2. Step 2: Convert to fraction form
    32,898/70,980 = 70,980/x
  3. Step 3: Cross multiply
    32,898x = 70,980 × 70,980
  4. Step 4: Simplify right side
    32,898x = 5,038,160,400
  5. Step 5: Solve for x
    x = 5,038,160,400/32,898
  6. Step 6: Final answer
    x = 153,144.88

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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.