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Finding the Third Proportional to 35,220.75 and 83,060.06

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Solution

The third proportional to 35,220.75 and 83,060.06 is: 195,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220.75 : 83,060.06 = 83,060.06 : x
  2. Step 2: Convert to fraction form
    35,220.75/83,060.06 = 83,060.06/x
  3. Step 3: Cross multiply
    35,220.75x = 83,060.06 × 83,060.06
  4. Step 4: Simplify right side
    35,220.75x = 6,898,973,982.50
  5. Step 5: Solve for x
    x = 6,898,973,982.50/35,220.75
  6. Step 6: Final answer
    x = 195,878.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.