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Finding the Third Proportional to 32,334.19 and 47,245.78

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Solution

The third proportional to 32,334.19 and 47,245.78 is: 69,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334.19 : 47,245.78 = 47,245.78 : x
  2. Step 2: Convert to fraction form
    32,334.19/47,245.78 = 47,245.78/x
  3. Step 3: Cross multiply
    32,334.19x = 47,245.78 × 47,245.78
  4. Step 4: Simplify right side
    32,334.19x = 2,232,163,845.92
  5. Step 5: Solve for x
    x = 2,232,163,845.92/32,334.19
  6. Step 6: Final answer
    x = 69,034.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.