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Finding the Third Proportional to 35,532 and 82,266.75

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Solution

The third proportional to 35,532 and 82,266.75 is: 190,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532 : 82,266.75 = 82,266.75 : x
  2. Step 2: Convert to fraction form
    35,532/82,266.75 = 82,266.75/x
  3. Step 3: Cross multiply
    35,532x = 82,266.75 × 82,266.75
  4. Step 4: Simplify right side
    35,532x = 6,767,818,155.56
  5. Step 5: Solve for x
    x = 6,767,818,155.56/35,532
  6. Step 6: Final answer
    x = 190,471.07

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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.