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Finding the Third Proportional to 26,005.50 and 39,980.25

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Solution

The third proportional to 26,005.50 and 39,980.25 is: 61,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.50 : 39,980.25 = 39,980.25 : x
  2. Step 2: Convert to fraction form
    26,005.50/39,980.25 = 39,980.25/x
  3. Step 3: Cross multiply
    26,005.50x = 39,980.25 × 39,980.25
  4. Step 4: Simplify right side
    26,005.50x = 1,598,420,390.06
  5. Step 5: Solve for x
    x = 1,598,420,390.06/26,005.50
  6. Step 6: Final answer
    x = 61,464.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.