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Finding the Third Proportional to 26,807.25 and 39,430.75

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Solution

The third proportional to 26,807.25 and 39,430.75 is: 57,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,807.25 : 39,430.75 = 39,430.75 : x
  2. Step 2: Convert to fraction form
    26,807.25/39,430.75 = 39,430.75/x
  3. Step 3: Cross multiply
    26,807.25x = 39,430.75 × 39,430.75
  4. Step 4: Simplify right side
    26,807.25x = 1,554,784,045.56
  5. Step 5: Solve for x
    x = 1,554,784,045.56/26,807.25
  6. Step 6: Final answer
    x = 57,998.64

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