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Finding the Third Proportional to 9,653.06 and 21,151.31

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Solution

The third proportional to 9,653.06 and 21,151.31 is: 46,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.06 : 21,151.31 = 21,151.31 : x
  2. Step 2: Convert to fraction form
    9,653.06/21,151.31 = 21,151.31/x
  3. Step 3: Cross multiply
    9,653.06x = 21,151.31 × 21,151.31
  4. Step 4: Simplify right side
    9,653.06x = 447,378,020.47
  5. Step 5: Solve for x
    x = 447,378,020.47/9,653.06
  6. Step 6: Final answer
    x = 46,345.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.