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Finding the Third Proportional to 35,331 and 49,516.50

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Solution

The third proportional to 35,331 and 49,516.50 is: 69,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,331 : 49,516.50 = 49,516.50 : x
  2. Step 2: Convert to fraction form
    35,331/49,516.50 = 49,516.50/x
  3. Step 3: Cross multiply
    35,331x = 49,516.50 × 49,516.50
  4. Step 4: Simplify right side
    35,331x = 2,451,883,772.25
  5. Step 5: Solve for x
    x = 2,451,883,772.25/35,331
  6. Step 6: Final answer
    x = 69,397.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.