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Finding the Third Proportional to 32,747 and 50,060.50

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Solution

The third proportional to 32,747 and 50,060.50 is: 76,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747 : 50,060.50 = 50,060.50 : x
  2. Step 2: Convert to fraction form
    32,747/50,060.50 = 50,060.50/x
  3. Step 3: Cross multiply
    32,747x = 50,060.50 × 50,060.50
  4. Step 4: Simplify right side
    32,747x = 2,506,053,660.25
  5. Step 5: Solve for x
    x = 2,506,053,660.25/32,747
  6. Step 6: Final answer
    x = 76,527.73

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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.