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Finding the Third Proportional to 2,995.73 and 6,317.53

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Solution

The third proportional to 2,995.73 and 6,317.53 is: 13,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.73 : 6,317.53 = 6,317.53 : x
  2. Step 2: Convert to fraction form
    2,995.73/6,317.53 = 6,317.53/x
  3. Step 3: Cross multiply
    2,995.73x = 6,317.53 × 6,317.53
  4. Step 4: Simplify right side
    2,995.73x = 39,911,127.06
  5. Step 5: Solve for x
    x = 39,911,127.06/2,995.73
  6. Step 6: Final answer
    x = 13,322.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.