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Finding the Third Proportional to 17,530.17 and 23,362.17

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Solution

The third proportional to 17,530.17 and 23,362.17 is: 31,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.17 : 23,362.17 = 23,362.17 : x
  2. Step 2: Convert to fraction form
    17,530.17/23,362.17 = 23,362.17/x
  3. Step 3: Cross multiply
    17,530.17x = 23,362.17 × 23,362.17
  4. Step 4: Simplify right side
    17,530.17x = 545,791,074.72
  5. Step 5: Solve for x
    x = 545,791,074.72/17,530.17
  6. Step 6: Final answer
    x = 31,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.