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Finding the Third Proportional to 1,569.94 and 2,520.84

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Solution

The third proportional to 1,569.94 and 2,520.84 is: 4,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,520.84 = 2,520.84 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,520.84 = 2,520.84/x
  3. Step 3: Cross multiply
    1,569.94x = 2,520.84 × 2,520.84
  4. Step 4: Simplify right side
    1,569.94x = 6,354,653.21
  5. Step 5: Solve for x
    x = 6,354,653.21/1,569.94
  6. Step 6: Final answer
    x = 4,047.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.