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Finding the Third Proportional to 25,600.88 and 39,749.06

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Solution

The third proportional to 25,600.88 and 39,749.06 is: 61,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.88 : 39,749.06 = 39,749.06 : x
  2. Step 2: Convert to fraction form
    25,600.88/39,749.06 = 39,749.06/x
  3. Step 3: Cross multiply
    25,600.88x = 39,749.06 × 39,749.06
  4. Step 4: Simplify right side
    25,600.88x = 1,579,987,969.63
  5. Step 5: Solve for x
    x = 1,579,987,969.63/25,600.88
  6. Step 6: Final answer
    x = 61,716.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.