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Finding the Third Proportional to 6,802.88 and 14,820.75

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Solution

The third proportional to 6,802.88 and 14,820.75 is: 32,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.88 : 14,820.75 = 14,820.75 : x
  2. Step 2: Convert to fraction form
    6,802.88/14,820.75 = 14,820.75/x
  3. Step 3: Cross multiply
    6,802.88x = 14,820.75 × 14,820.75
  4. Step 4: Simplify right side
    6,802.88x = 219,654,630.56
  5. Step 5: Solve for x
    x = 219,654,630.56/6,802.88
  6. Step 6: Final answer
    x = 32,288.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.