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Finding the Third Proportional to 23,019.19 and 33,366.94

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Solution

The third proportional to 23,019.19 and 33,366.94 is: 48,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.19 : 33,366.94 = 33,366.94 : x
  2. Step 2: Convert to fraction form
    23,019.19/33,366.94 = 33,366.94/x
  3. Step 3: Cross multiply
    23,019.19x = 33,366.94 × 33,366.94
  4. Step 4: Simplify right side
    23,019.19x = 1,113,352,518.13
  5. Step 5: Solve for x
    x = 1,113,352,518.13/23,019.19
  6. Step 6: Final answer
    x = 48,366.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.