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Finding the Third Proportional to 5,005.75 and 11,052.50

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Solution

The third proportional to 5,005.75 and 11,052.50 is: 24,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.75 : 11,052.50 = 11,052.50 : x
  2. Step 2: Convert to fraction form
    5,005.75/11,052.50 = 11,052.50/x
  3. Step 3: Cross multiply
    5,005.75x = 11,052.50 × 11,052.50
  4. Step 4: Simplify right side
    5,005.75x = 122,157,756.25
  5. Step 5: Solve for x
    x = 122,157,756.25/5,005.75
  6. Step 6: Final answer
    x = 24,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.