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Finding the Third Proportional to 35,822 and 53,535

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Solution

The third proportional to 35,822 and 53,535 is: 80,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822 : 53,535 = 53,535 : x
  2. Step 2: Convert to fraction form
    35,822/53,535 = 53,535/x
  3. Step 3: Cross multiply
    35,822x = 53,535 × 53,535
  4. Step 4: Simplify right side
    35,822x = 2,865,996,225
  5. Step 5: Solve for x
    x = 2,865,996,225/35,822
  6. Step 6: Final answer
    x = 80,006.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.