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Finding the Third Proportional to 26,795.25 and 39,417.75

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Solution

The third proportional to 26,795.25 and 39,417.75 is: 57,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,795.25 : 39,417.75 = 39,417.75 : x
  2. Step 2: Convert to fraction form
    26,795.25/39,417.75 = 39,417.75/x
  3. Step 3: Cross multiply
    26,795.25x = 39,417.75 × 39,417.75
  4. Step 4: Simplify right side
    26,795.25x = 1,553,759,015.06
  5. Step 5: Solve for x
    x = 1,553,759,015.06/26,795.25
  6. Step 6: Final answer
    x = 57,986.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.