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Finding the Third Proportional to 8,024.06 and 17,490.94

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Solution

The third proportional to 8,024.06 and 17,490.94 is: 38,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.06 : 17,490.94 = 17,490.94 : x
  2. Step 2: Convert to fraction form
    8,024.06/17,490.94 = 17,490.94/x
  3. Step 3: Cross multiply
    8,024.06x = 17,490.94 × 17,490.94
  4. Step 4: Simplify right side
    8,024.06x = 305,932,894.63
  5. Step 5: Solve for x
    x = 305,932,894.63/8,024.06
  6. Step 6: Final answer
    x = 38,126.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.