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Finding the Third Proportional to 6,950.25 and 14,987.25

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Solution

The third proportional to 6,950.25 and 14,987.25 is: 32,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.25 : 14,987.25 = 14,987.25 : x
  2. Step 2: Convert to fraction form
    6,950.25/14,987.25 = 14,987.25/x
  3. Step 3: Cross multiply
    6,950.25x = 14,987.25 × 14,987.25
  4. Step 4: Simplify right side
    6,950.25x = 224,617,662.56
  5. Step 5: Solve for x
    x = 224,617,662.56/6,950.25
  6. Step 6: Final answer
    x = 32,317.93

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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.