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Finding the Third Proportional to 2,154.94 and 4,653.56

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Solution

The third proportional to 2,154.94 and 4,653.56 is: 10,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 4,653.56 = 4,653.56 : x
  2. Step 2: Convert to fraction form
    2,154.94/4,653.56 = 4,653.56/x
  3. Step 3: Cross multiply
    2,154.94x = 4,653.56 × 4,653.56
  4. Step 4: Simplify right side
    2,154.94x = 21,655,643.94
  5. Step 5: Solve for x
    x = 21,655,643.94/2,154.94
  6. Step 6: Final answer
    x = 10,049.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.