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Finding the Third Proportional to 4,923.77 and 10,804.15

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Solution

The third proportional to 4,923.77 and 10,804.15 is: 23,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.77 : 10,804.15 = 10,804.15 : x
  2. Step 2: Convert to fraction form
    4,923.77/10,804.15 = 10,804.15/x
  3. Step 3: Cross multiply
    4,923.77x = 10,804.15 × 10,804.15
  4. Step 4: Simplify right side
    4,923.77x = 116,729,623.46
  5. Step 5: Solve for x
    x = 116,729,623.46/4,923.77
  6. Step 6: Final answer
    x = 23,707.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.