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Finding the Third Proportional to 35,781.75 and 60,972.75

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Solution

The third proportional to 35,781.75 and 60,972.75 is: 103,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.75 : 60,972.75 = 60,972.75 : x
  2. Step 2: Convert to fraction form
    35,781.75/60,972.75 = 60,972.75/x
  3. Step 3: Cross multiply
    35,781.75x = 60,972.75 × 60,972.75
  4. Step 4: Simplify right side
    35,781.75x = 3,717,676,242.56
  5. Step 5: Solve for x
    x = 3,717,676,242.56/35,781.75
  6. Step 6: Final answer
    x = 103,898.67

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.