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Finding the Third Proportional to 32,199.75 and 70,551

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Solution

The third proportional to 32,199.75 and 70,551 is: 154,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.75 : 70,551 = 70,551 : x
  2. Step 2: Convert to fraction form
    32,199.75/70,551 = 70,551/x
  3. Step 3: Cross multiply
    32,199.75x = 70,551 × 70,551
  4. Step 4: Simplify right side
    32,199.75x = 4,977,443,601
  5. Step 5: Solve for x
    x = 4,977,443,601/32,199.75
  6. Step 6: Final answer
    x = 154,580.19

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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.