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Finding the Third Proportional to 7,948.97 and 17,285.06

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Solution

The third proportional to 7,948.97 and 17,285.06 is: 37,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.97 : 17,285.06 = 17,285.06 : x
  2. Step 2: Convert to fraction form
    7,948.97/17,285.06 = 17,285.06/x
  3. Step 3: Cross multiply
    7,948.97x = 17,285.06 × 17,285.06
  4. Step 4: Simplify right side
    7,948.97x = 298,773,385.63
  5. Step 5: Solve for x
    x = 298,773,385.63/7,948.97
  6. Step 6: Final answer
    x = 37,586.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.