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Finding the Third Proportional to 29,738.50 and 46,101.75

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Solution

The third proportional to 29,738.50 and 46,101.75 is: 71,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.50 : 46,101.75 = 46,101.75 : x
  2. Step 2: Convert to fraction form
    29,738.50/46,101.75 = 46,101.75/x
  3. Step 3: Cross multiply
    29,738.50x = 46,101.75 × 46,101.75
  4. Step 4: Simplify right side
    29,738.50x = 2,125,371,353.06
  5. Step 5: Solve for x
    x = 2,125,371,353.06/29,738.50
  6. Step 6: Final answer
    x = 71,468.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.