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Finding the Third Proportional to 2,052.84 and 4,653.70

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Solution

The third proportional to 2,052.84 and 4,653.70 is: 10,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 4,653.70 = 4,653.70 : x
  2. Step 2: Convert to fraction form
    2,052.84/4,653.70 = 4,653.70/x
  3. Step 3: Cross multiply
    2,052.84x = 4,653.70 × 4,653.70
  4. Step 4: Simplify right side
    2,052.84x = 21,656,952.78
  5. Step 5: Solve for x
    x = 21,656,952.78/2,052.84
  6. Step 6: Final answer
    x = 10,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.