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Finding the Third Proportional to 27,883.69 and 39,749.06

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Solution

The third proportional to 27,883.69 and 39,749.06 is: 56,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.69 : 39,749.06 = 39,749.06 : x
  2. Step 2: Convert to fraction form
    27,883.69/39,749.06 = 39,749.06/x
  3. Step 3: Cross multiply
    27,883.69x = 39,749.06 × 39,749.06
  4. Step 4: Simplify right side
    27,883.69x = 1,579,987,969.63
  5. Step 5: Solve for x
    x = 1,579,987,969.63/27,883.69
  6. Step 6: Final answer
    x = 56,663.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.