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Finding the Third Proportional to 15,782.25 and 34,025.25

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Solution

The third proportional to 15,782.25 and 34,025.25 is: 73,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.25 : 34,025.25 = 34,025.25 : x
  2. Step 2: Convert to fraction form
    15,782.25/34,025.25 = 34,025.25/x
  3. Step 3: Cross multiply
    15,782.25x = 34,025.25 × 34,025.25
  4. Step 4: Simplify right side
    15,782.25x = 1,157,717,637.56
  5. Step 5: Solve for x
    x = 1,157,717,637.56/15,782.25
  6. Step 6: Final answer
    x = 73,355.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.