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Finding the Third Proportional to 3,737.55 and 5,117.77

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Solution

The third proportional to 3,737.55 and 5,117.77 is: 7,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.55 : 5,117.77 = 5,117.77 : x
  2. Step 2: Convert to fraction form
    3,737.55/5,117.77 = 5,117.77/x
  3. Step 3: Cross multiply
    3,737.55x = 5,117.77 × 5,117.77
  4. Step 4: Simplify right side
    3,737.55x = 26,191,592.46
  5. Step 5: Solve for x
    x = 26,191,592.46/3,737.55
  6. Step 6: Final answer
    x = 7,007.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.