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Finding the Third Proportional to 44,335.50 and 66,963

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Solution

The third proportional to 44,335.50 and 66,963 is: 101,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,335.50 : 66,963 = 66,963 : x
  2. Step 2: Convert to fraction form
    44,335.50/66,963 = 66,963/x
  3. Step 3: Cross multiply
    44,335.50x = 66,963 × 66,963
  4. Step 4: Simplify right side
    44,335.50x = 4,484,043,369
  5. Step 5: Solve for x
    x = 4,484,043,369/44,335.50
  6. Step 6: Final answer
    x = 101,138.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.