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Finding the Third Proportional to 2,347.73 and 3,721.57

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Solution

The third proportional to 2,347.73 and 3,721.57 is: 5,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.73 : 3,721.57 = 3,721.57 : x
  2. Step 2: Convert to fraction form
    2,347.73/3,721.57 = 3,721.57/x
  3. Step 3: Cross multiply
    2,347.73x = 3,721.57 × 3,721.57
  4. Step 4: Simplify right side
    2,347.73x = 13,850,085.59
  5. Step 5: Solve for x
    x = 13,850,085.59/2,347.73
  6. Step 6: Final answer
    x = 5,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.