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Finding the Third Proportional to 44,615.25 and 65,689.31

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Solution

The third proportional to 44,615.25 and 65,689.31 is: 96,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,615.25 : 65,689.31 = 65,689.31 : x
  2. Step 2: Convert to fraction form
    44,615.25/65,689.31 = 65,689.31/x
  3. Step 3: Cross multiply
    44,615.25x = 65,689.31 × 65,689.31
  4. Step 4: Simplify right side
    44,615.25x = 4,315,085,776.72
  5. Step 5: Solve for x
    x = 4,315,085,776.72/44,615.25
  6. Step 6: Final answer
    x = 96,717.73

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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.