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Finding the Third Proportional to 58,524 and 83,634.75

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Solution

The third proportional to 58,524 and 83,634.75 is: 119,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,524 : 83,634.75 = 83,634.75 : x
  2. Step 2: Convert to fraction form
    58,524/83,634.75 = 83,634.75/x
  3. Step 3: Cross multiply
    58,524x = 83,634.75 × 83,634.75
  4. Step 4: Simplify right side
    58,524x = 6,994,771,407.56
  5. Step 5: Solve for x
    x = 6,994,771,407.56/58,524
  6. Step 6: Final answer
    x = 119,519.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.