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Finding the Third Proportional to 2,538.84 and 4,570.17

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Solution

The third proportional to 2,538.84 and 4,570.17 is: 8,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.84 : 4,570.17 = 4,570.17 : x
  2. Step 2: Convert to fraction form
    2,538.84/4,570.17 = 4,570.17/x
  3. Step 3: Cross multiply
    2,538.84x = 4,570.17 × 4,570.17
  4. Step 4: Simplify right side
    2,538.84x = 20,886,470.97
  5. Step 5: Solve for x
    x = 20,886,470.97/2,538.84
  6. Step 6: Final answer
    x = 8,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.