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Finding the Third Proportional to 41,782.50 and 65,214.75

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Solution

The third proportional to 41,782.50 and 65,214.75 is: 101,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.50 : 65,214.75 = 65,214.75 : x
  2. Step 2: Convert to fraction form
    41,782.50/65,214.75 = 65,214.75/x
  3. Step 3: Cross multiply
    41,782.50x = 65,214.75 × 65,214.75
  4. Step 4: Simplify right side
    41,782.50x = 4,252,963,617.56
  5. Step 5: Solve for x
    x = 4,252,963,617.56/41,782.50
  6. Step 6: Final answer
    x = 101,788.16

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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.