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Finding the Third Proportional to 36,417 and 49,435.50

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Solution

The third proportional to 36,417 and 49,435.50 is: 67,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417 : 49,435.50 = 49,435.50 : x
  2. Step 2: Convert to fraction form
    36,417/49,435.50 = 49,435.50/x
  3. Step 3: Cross multiply
    36,417x = 49,435.50 × 49,435.50
  4. Step 4: Simplify right side
    36,417x = 2,443,868,660.25
  5. Step 5: Solve for x
    x = 2,443,868,660.25/36,417
  6. Step 6: Final answer
    x = 67,107.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.