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Finding the Third Proportional to 1,569.94 and 2,673.84

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Solution

The third proportional to 1,569.94 and 2,673.84 is: 4,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,673.84 = 2,673.84 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,673.84 = 2,673.84/x
  3. Step 3: Cross multiply
    1,569.94x = 2,673.84 × 2,673.84
  4. Step 4: Simplify right side
    1,569.94x = 7,149,440.40
  5. Step 5: Solve for x
    x = 7,149,440.40/1,569.94
  6. Step 6: Final answer
    x = 4,553.96

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.