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Finding the Third Proportional to 7,202.16 and 15,403.31

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Solution

The third proportional to 7,202.16 and 15,403.31 is: 32,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.16 : 15,403.31 = 15,403.31 : x
  2. Step 2: Convert to fraction form
    7,202.16/15,403.31 = 15,403.31/x
  3. Step 3: Cross multiply
    7,202.16x = 15,403.31 × 15,403.31
  4. Step 4: Simplify right side
    7,202.16x = 237,262,035.97
  5. Step 5: Solve for x
    x = 237,262,035.97/7,202.16
  6. Step 6: Final answer
    x = 32,943.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.