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Finding the Third Proportional to 30,868.59 and 67,523.63

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Solution

The third proportional to 30,868.59 and 67,523.63 is: 147,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.59 : 67,523.63 = 67,523.63 : x
  2. Step 2: Convert to fraction form
    30,868.59/67,523.63 = 67,523.63/x
  3. Step 3: Cross multiply
    30,868.59x = 67,523.63 × 67,523.63
  4. Step 4: Simplify right side
    30,868.59x = 4,559,439,933.14
  5. Step 5: Solve for x
    x = 4,559,439,933.14/30,868.59
  6. Step 6: Final answer
    x = 147,704.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.