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Finding the Third Proportional to 10,002.75 and 24,003.75

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Solution

The third proportional to 10,002.75 and 24,003.75 is: 57,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.75 : 24,003.75 = 24,003.75 : x
  2. Step 2: Convert to fraction form
    10,002.75/24,003.75 = 24,003.75/x
  3. Step 3: Cross multiply
    10,002.75x = 24,003.75 × 24,003.75
  4. Step 4: Simplify right side
    10,002.75x = 576,180,014.06
  5. Step 5: Solve for x
    x = 576,180,014.06/10,002.75
  6. Step 6: Final answer
    x = 57,602.16

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.