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Finding the Third Proportional to 6,470.88 and 9,696.31

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Solution

The third proportional to 6,470.88 and 9,696.31 is: 14,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.88 : 9,696.31 = 9,696.31 : x
  2. Step 2: Convert to fraction form
    6,470.88/9,696.31 = 9,696.31/x
  3. Step 3: Cross multiply
    6,470.88x = 9,696.31 × 9,696.31
  4. Step 4: Simplify right side
    6,470.88x = 94,018,476.10
  5. Step 5: Solve for x
    x = 94,018,476.10/6,470.88
  6. Step 6: Final answer
    x = 14,529.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.