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Finding the Third Proportional to 4,025.63 and 6,220.88

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Solution

The third proportional to 4,025.63 and 6,220.88 is: 9,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.63 : 6,220.88 = 6,220.88 : x
  2. Step 2: Convert to fraction form
    4,025.63/6,220.88 = 6,220.88/x
  3. Step 3: Cross multiply
    4,025.63x = 6,220.88 × 6,220.88
  4. Step 4: Simplify right side
    4,025.63x = 38,699,285.77
  5. Step 5: Solve for x
    x = 38,699,285.77/4,025.63
  6. Step 6: Final answer
    x = 9,613.24

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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.