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Finding the Third Proportional to 6,972.75 and 16,135.88

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Solution

The third proportional to 6,972.75 and 16,135.88 is: 37,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 16,135.88 = 16,135.88 : x
  2. Step 2: Convert to fraction form
    6,972.75/16,135.88 = 16,135.88/x
  3. Step 3: Cross multiply
    6,972.75x = 16,135.88 × 16,135.88
  4. Step 4: Simplify right side
    6,972.75x = 260,366,462.02
  5. Step 5: Solve for x
    x = 260,366,462.02/6,972.75
  6. Step 6: Final answer
    x = 37,340.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.