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Finding the Third Proportional to 2,922.75 and 6,697.13

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Solution

The third proportional to 2,922.75 and 6,697.13 is: 15,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.75 : 6,697.13 = 6,697.13 : x
  2. Step 2: Convert to fraction form
    2,922.75/6,697.13 = 6,697.13/x
  3. Step 3: Cross multiply
    2,922.75x = 6,697.13 × 6,697.13
  4. Step 4: Simplify right side
    2,922.75x = 44,851,483.27
  5. Step 5: Solve for x
    x = 44,851,483.27/2,922.75
  6. Step 6: Final answer
    x = 15,345.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.