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Finding the Third Proportional to 1,737.70 and 3,596.91

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Solution

The third proportional to 1,737.70 and 3,596.91 is: 7,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.70 : 3,596.91 = 3,596.91 : x
  2. Step 2: Convert to fraction form
    1,737.70/3,596.91 = 3,596.91/x
  3. Step 3: Cross multiply
    1,737.70x = 3,596.91 × 3,596.91
  4. Step 4: Simplify right side
    1,737.70x = 12,937,734.57
  5. Step 5: Solve for x
    x = 12,937,734.57/1,737.70
  6. Step 6: Final answer
    x = 7,445.31

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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.