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Finding the Third Proportional to 33,652.50 and 70,791

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Solution

The third proportional to 33,652.50 and 70,791 is: 148,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.50 : 70,791 = 70,791 : x
  2. Step 2: Convert to fraction form
    33,652.50/70,791 = 70,791/x
  3. Step 3: Cross multiply
    33,652.50x = 70,791 × 70,791
  4. Step 4: Simplify right side
    33,652.50x = 5,011,365,681
  5. Step 5: Solve for x
    x = 5,011,365,681/33,652.50
  6. Step 6: Final answer
    x = 148,915.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.