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Finding the Third Proportional to 4,292.79 and 9,053.23

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Solution

The third proportional to 4,292.79 and 9,053.23 is: 19,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.79 : 9,053.23 = 9,053.23 : x
  2. Step 2: Convert to fraction form
    4,292.79/9,053.23 = 9,053.23/x
  3. Step 3: Cross multiply
    4,292.79x = 9,053.23 × 9,053.23
  4. Step 4: Simplify right side
    4,292.79x = 81,960,911.19
  5. Step 5: Solve for x
    x = 81,960,911.19/4,292.79
  6. Step 6: Final answer
    x = 19,092.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.