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Finding the Third Proportional to 17,497.13 and 23,653.69

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Solution

The third proportional to 17,497.13 and 23,653.69 is: 31,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.13 : 23,653.69 = 23,653.69 : x
  2. Step 2: Convert to fraction form
    17,497.13/23,653.69 = 23,653.69/x
  3. Step 3: Cross multiply
    17,497.13x = 23,653.69 × 23,653.69
  4. Step 4: Simplify right side
    17,497.13x = 559,496,932.35
  5. Step 5: Solve for x
    x = 559,496,932.35/17,497.13
  6. Step 6: Final answer
    x = 31,976.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.