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Finding the Third Proportional to 2,782.50 and 6,008.25

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Solution

The third proportional to 2,782.50 and 6,008.25 is: 12,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 6,008.25 = 6,008.25 : x
  2. Step 2: Convert to fraction form
    2,782.50/6,008.25 = 6,008.25/x
  3. Step 3: Cross multiply
    2,782.50x = 6,008.25 × 6,008.25
  4. Step 4: Simplify right side
    2,782.50x = 36,099,068.06
  5. Step 5: Solve for x
    x = 36,099,068.06/2,782.50
  6. Step 6: Final answer
    x = 12,973.61

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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.