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Finding the Third Proportional to 2,373.52 and 3,721.89

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Solution

The third proportional to 2,373.52 and 3,721.89 is: 5,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.52 : 3,721.89 = 3,721.89 : x
  2. Step 2: Convert to fraction form
    2,373.52/3,721.89 = 3,721.89/x
  3. Step 3: Cross multiply
    2,373.52x = 3,721.89 × 3,721.89
  4. Step 4: Simplify right side
    2,373.52x = 13,852,440.75
  5. Step 5: Solve for x
    x = 13,852,440.75/2,373.52
  6. Step 6: Final answer
    x = 5,836.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.