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Finding the Third Proportional to 26,657.50 and 57,005

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Solution

The third proportional to 26,657.50 and 57,005 is: 121,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.50 : 57,005 = 57,005 : x
  2. Step 2: Convert to fraction form
    26,657.50/57,005 = 57,005/x
  3. Step 3: Cross multiply
    26,657.50x = 57,005 × 57,005
  4. Step 4: Simplify right side
    26,657.50x = 3,249,570,025
  5. Step 5: Solve for x
    x = 3,249,570,025/26,657.50
  6. Step 6: Final answer
    x = 121,900.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.