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Finding the Third Proportional to 6,500.25 and 12,605.63

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Solution

The third proportional to 6,500.25 and 12,605.63 is: 24,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 12,605.63 = 12,605.63 : x
  2. Step 2: Convert to fraction form
    6,500.25/12,605.63 = 12,605.63/x
  3. Step 3: Cross multiply
    6,500.25x = 12,605.63 × 12,605.63
  4. Step 4: Simplify right side
    6,500.25x = 158,901,781.64
  5. Step 5: Solve for x
    x = 158,901,781.64/6,500.25
  6. Step 6: Final answer
    x = 24,445.49

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.