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Finding the Third Proportional to 6,625.55 and 9,285.61

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Solution

The third proportional to 6,625.55 and 9,285.61 is: 13,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.55 : 9,285.61 = 9,285.61 : x
  2. Step 2: Convert to fraction form
    6,625.55/9,285.61 = 9,285.61/x
  3. Step 3: Cross multiply
    6,625.55x = 9,285.61 × 9,285.61
  4. Step 4: Simplify right side
    6,625.55x = 86,222,541.47
  5. Step 5: Solve for x
    x = 86,222,541.47/6,625.55
  6. Step 6: Final answer
    x = 13,013.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.