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Finding the Third Proportional to 16,256.74 and 25,963.68

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Solution

The third proportional to 16,256.74 and 25,963.68 is: 41,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.74 : 25,963.68 = 25,963.68 : x
  2. Step 2: Convert to fraction form
    16,256.74/25,963.68 = 25,963.68/x
  3. Step 3: Cross multiply
    16,256.74x = 25,963.68 × 25,963.68
  4. Step 4: Simplify right side
    16,256.74x = 674,112,878.43
  5. Step 5: Solve for x
    x = 674,112,878.43/16,256.74
  6. Step 6: Final answer
    x = 41,466.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.