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Finding the Third Proportional to 1,737.91 and 3,590.79

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Solution

The third proportional to 1,737.91 and 3,590.79 is: 7,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.91 : 3,590.79 = 3,590.79 : x
  2. Step 2: Convert to fraction form
    1,737.91/3,590.79 = 3,590.79/x
  3. Step 3: Cross multiply
    1,737.91x = 3,590.79 × 3,590.79
  4. Step 4: Simplify right side
    1,737.91x = 12,893,766.09
  5. Step 5: Solve for x
    x = 12,893,766.09/1,737.91
  6. Step 6: Final answer
    x = 7,419.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.