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Finding the Third Proportional to 32,344 and 70,699

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Solution

The third proportional to 32,344 and 70,699 is: 154,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344 : 70,699 = 70,699 : x
  2. Step 2: Convert to fraction form
    32,344/70,699 = 70,699/x
  3. Step 3: Cross multiply
    32,344x = 70,699 × 70,699
  4. Step 4: Simplify right side
    32,344x = 4,998,348,601
  5. Step 5: Solve for x
    x = 4,998,348,601/32,344
  6. Step 6: Final answer
    x = 154,537.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.