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Finding the Third Proportional to 19,523.53 and 30,378.80

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Solution

The third proportional to 19,523.53 and 30,378.80 is: 47,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.53 : 30,378.80 = 30,378.80 : x
  2. Step 2: Convert to fraction form
    19,523.53/30,378.80 = 30,378.80/x
  3. Step 3: Cross multiply
    19,523.53x = 30,378.80 × 30,378.80
  4. Step 4: Simplify right side
    19,523.53x = 922,871,299.57
  5. Step 5: Solve for x
    x = 922,871,299.57/19,523.53
  6. Step 6: Final answer
    x = 47,269.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.