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Finding the Third Proportional to 19,336.64 and 30,768.19

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Solution

The third proportional to 19,336.64 and 30,768.19 is: 48,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,336.64 : 30,768.19 = 30,768.19 : x
  2. Step 2: Convert to fraction form
    19,336.64/30,768.19 = 30,768.19/x
  3. Step 3: Cross multiply
    19,336.64x = 30,768.19 × 30,768.19
  4. Step 4: Simplify right side
    19,336.64x = 946,681,362.04
  5. Step 5: Solve for x
    x = 946,681,362.04/19,336.64
  6. Step 6: Final answer
    x = 48,957.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.