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Finding the Third Proportional to 35,510.06 and 82,215

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Solution

The third proportional to 35,510.06 and 82,215 is: 190,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.06 : 82,215 = 82,215 : x
  2. Step 2: Convert to fraction form
    35,510.06/82,215 = 82,215/x
  3. Step 3: Cross multiply
    35,510.06x = 82,215 × 82,215
  4. Step 4: Simplify right side
    35,510.06x = 6,759,306,225
  5. Step 5: Solve for x
    x = 6,759,306,225/35,510.06
  6. Step 6: Final answer
    x = 190,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.