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Finding the Third Proportional to 4,397.63 and 6,800.63

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Solution

The third proportional to 4,397.63 and 6,800.63 is: 10,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.63 : 6,800.63 = 6,800.63 : x
  2. Step 2: Convert to fraction form
    4,397.63/6,800.63 = 6,800.63/x
  3. Step 3: Cross multiply
    4,397.63x = 6,800.63 × 6,800.63
  4. Step 4: Simplify right side
    4,397.63x = 46,248,500.39
  5. Step 5: Solve for x
    x = 46,248,500.39/4,397.63
  6. Step 6: Final answer
    x = 10,516.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.