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Finding the Third Proportional to 4,737.23 and 7,250.77

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Solution

The third proportional to 4,737.23 and 7,250.77 is: 11,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.23 : 7,250.77 = 7,250.77 : x
  2. Step 2: Convert to fraction form
    4,737.23/7,250.77 = 7,250.77/x
  3. Step 3: Cross multiply
    4,737.23x = 7,250.77 × 7,250.77
  4. Step 4: Simplify right side
    4,737.23x = 52,573,602.15
  5. Step 5: Solve for x
    x = 52,573,602.15/4,737.23
  6. Step 6: Final answer
    x = 11,097.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.