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Finding the Third Proportional to 22,983.75 and 44,863.88

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Solution

The third proportional to 22,983.75 and 44,863.88 is: 87,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 44,863.88 = 44,863.88 : x
  2. Step 2: Convert to fraction form
    22,983.75/44,863.88 = 44,863.88/x
  3. Step 3: Cross multiply
    22,983.75x = 44,863.88 × 44,863.88
  4. Step 4: Simplify right side
    22,983.75x = 2,012,767,280.02
  5. Step 5: Solve for x
    x = 2,012,767,280.02/22,983.75
  6. Step 6: Final answer
    x = 87,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.