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Finding the Third Proportional to 39,524 and 60,290

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Solution

The third proportional to 39,524 and 60,290 is: 91,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524 : 60,290 = 60,290 : x
  2. Step 2: Convert to fraction form
    39,524/60,290 = 60,290/x
  3. Step 3: Cross multiply
    39,524x = 60,290 × 60,290
  4. Step 4: Simplify right side
    39,524x = 3,634,884,100
  5. Step 5: Solve for x
    x = 3,634,884,100/39,524
  6. Step 6: Final answer
    x = 91,966.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.