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Finding the Third Proportional to 32,018 and 68,968

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Solution

The third proportional to 32,018 and 68,968 is: 148,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018 : 68,968 = 68,968 : x
  2. Step 2: Convert to fraction form
    32,018/68,968 = 68,968/x
  3. Step 3: Cross multiply
    32,018x = 68,968 × 68,968
  4. Step 4: Simplify right side
    32,018x = 4,756,585,024
  5. Step 5: Solve for x
    x = 4,756,585,024/32,018
  6. Step 6: Final answer
    x = 148,559.72

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Why These Related Problems?

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