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Finding the Third Proportional to 1,737.70 and 3,703.22

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Solution

The third proportional to 1,737.70 and 3,703.22 is: 7,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.70 : 3,703.22 = 3,703.22 : x
  2. Step 2: Convert to fraction form
    1,737.70/3,703.22 = 3,703.22/x
  3. Step 3: Cross multiply
    1,737.70x = 3,703.22 × 3,703.22
  4. Step 4: Simplify right side
    1,737.70x = 13,713,829.11
  5. Step 5: Solve for x
    x = 13,713,829.11/1,737.70
  6. Step 6: Final answer
    x = 7,891.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.