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Finding the Third Proportional to 39,604 and 56,526

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Solution

The third proportional to 39,604 and 56,526 is: 80,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,604 : 56,526 = 56,526 : x
  2. Step 2: Convert to fraction form
    39,604/56,526 = 56,526/x
  3. Step 3: Cross multiply
    39,604x = 56,526 × 56,526
  4. Step 4: Simplify right side
    39,604x = 3,195,188,676
  5. Step 5: Solve for x
    x = 3,195,188,676/39,604
  6. Step 6: Final answer
    x = 80,678.43

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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.