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Finding the Third Proportional to 29,391 and 43,906.50

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Solution

The third proportional to 29,391 and 43,906.50 is: 65,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,391 : 43,906.50 = 43,906.50 : x
  2. Step 2: Convert to fraction form
    29,391/43,906.50 = 43,906.50/x
  3. Step 3: Cross multiply
    29,391x = 43,906.50 × 43,906.50
  4. Step 4: Simplify right side
    29,391x = 1,927,780,742.25
  5. Step 5: Solve for x
    x = 1,927,780,742.25/29,391
  6. Step 6: Final answer
    x = 65,590.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.