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Finding the Third Proportional to 6,670.59 and 10,463.77

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Solution

The third proportional to 6,670.59 and 10,463.77 is: 16,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.59 : 10,463.77 = 10,463.77 : x
  2. Step 2: Convert to fraction form
    6,670.59/10,463.77 = 10,463.77/x
  3. Step 3: Cross multiply
    6,670.59x = 10,463.77 × 10,463.77
  4. Step 4: Simplify right side
    6,670.59x = 109,490,391.05
  5. Step 5: Solve for x
    x = 109,490,391.05/6,670.59
  6. Step 6: Final answer
    x = 16,413.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.