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Finding the Third Proportional to 29,788.50 and 46,440.75

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Solution

The third proportional to 29,788.50 and 46,440.75 is: 72,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,788.50 : 46,440.75 = 46,440.75 : x
  2. Step 2: Convert to fraction form
    29,788.50/46,440.75 = 46,440.75/x
  3. Step 3: Cross multiply
    29,788.50x = 46,440.75 × 46,440.75
  4. Step 4: Simplify right side
    29,788.50x = 2,156,743,260.56
  5. Step 5: Solve for x
    x = 2,156,743,260.56/29,788.50
  6. Step 6: Final answer
    x = 72,401.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.