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Finding the Third Proportional to 32,527 and 70,999

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Solution

The third proportional to 32,527 and 70,999 is: 154,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527 : 70,999 = 70,999 : x
  2. Step 2: Convert to fraction form
    32,527/70,999 = 70,999/x
  3. Step 3: Cross multiply
    32,527x = 70,999 × 70,999
  4. Step 4: Simplify right side
    32,527x = 5,040,858,001
  5. Step 5: Solve for x
    x = 5,040,858,001/32,527
  6. Step 6: Final answer
    x = 154,974.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.