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Finding the Third Proportional to 32,717 and 70,966

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Solution

The third proportional to 32,717 and 70,966 is: 153,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,717 : 70,966 = 70,966 : x
  2. Step 2: Convert to fraction form
    32,717/70,966 = 70,966/x
  3. Step 3: Cross multiply
    32,717x = 70,966 × 70,966
  4. Step 4: Simplify right side
    32,717x = 5,036,173,156
  5. Step 5: Solve for x
    x = 5,036,173,156/32,717
  6. Step 6: Final answer
    x = 153,931.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.