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Finding the Third Proportional to 15,292.27 and 21,534.61

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Solution

The third proportional to 15,292.27 and 21,534.61 is: 30,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,292.27 : 21,534.61 = 21,534.61 : x
  2. Step 2: Convert to fraction form
    15,292.27/21,534.61 = 21,534.61/x
  3. Step 3: Cross multiply
    15,292.27x = 21,534.61 × 21,534.61
  4. Step 4: Simplify right side
    15,292.27x = 463,739,400.93
  5. Step 5: Solve for x
    x = 463,739,400.93/15,292.27
  6. Step 6: Final answer
    x = 30,325.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.