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Finding the Third Proportional to 3,688.53 and 7,992.31

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Solution

The third proportional to 3,688.53 and 7,992.31 is: 17,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.53 : 7,992.31 = 7,992.31 : x
  2. Step 2: Convert to fraction form
    3,688.53/7,992.31 = 7,992.31/x
  3. Step 3: Cross multiply
    3,688.53x = 7,992.31 × 7,992.31
  4. Step 4: Simplify right side
    3,688.53x = 63,877,059.10
  5. Step 5: Solve for x
    x = 63,877,059.10/3,688.53
  6. Step 6: Final answer
    x = 17,317.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.