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Finding the Third Proportional to 10,671.75 and 23,024.25

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Solution

The third proportional to 10,671.75 and 23,024.25 is: 49,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 23,024.25 = 23,024.25 : x
  2. Step 2: Convert to fraction form
    10,671.75/23,024.25 = 23,024.25/x
  3. Step 3: Cross multiply
    10,671.75x = 23,024.25 × 23,024.25
  4. Step 4: Simplify right side
    10,671.75x = 530,116,088.06
  5. Step 5: Solve for x
    x = 530,116,088.06/10,671.75
  6. Step 6: Final answer
    x = 49,674.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.