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Finding the Third Proportional to 15,782.25 and 33,782.25

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Solution

The third proportional to 15,782.25 and 33,782.25 is: 72,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.25 : 33,782.25 = 33,782.25 : x
  2. Step 2: Convert to fraction form
    15,782.25/33,782.25 = 33,782.25/x
  3. Step 3: Cross multiply
    15,782.25x = 33,782.25 × 33,782.25
  4. Step 4: Simplify right side
    15,782.25x = 1,141,240,415.06
  5. Step 5: Solve for x
    x = 1,141,240,415.06/15,782.25
  6. Step 6: Final answer
    x = 72,311.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.