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Finding the Third Proportional to 4,440.94 and 10,254.38

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Solution

The third proportional to 4,440.94 and 10,254.38 is: 23,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.94 : 10,254.38 = 10,254.38 : x
  2. Step 2: Convert to fraction form
    4,440.94/10,254.38 = 10,254.38/x
  3. Step 3: Cross multiply
    4,440.94x = 10,254.38 × 10,254.38
  4. Step 4: Simplify right side
    4,440.94x = 105,152,206.64
  5. Step 5: Solve for x
    x = 105,152,206.64/4,440.94
  6. Step 6: Final answer
    x = 23,677.93

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.