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Finding the Third Proportional to 16,718 and 25,969.75

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Solution

The third proportional to 16,718 and 25,969.75 is: 40,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718 : 25,969.75 = 25,969.75 : x
  2. Step 2: Convert to fraction form
    16,718/25,969.75 = 25,969.75/x
  3. Step 3: Cross multiply
    16,718x = 25,969.75 × 25,969.75
  4. Step 4: Simplify right side
    16,718x = 674,427,915.06
  5. Step 5: Solve for x
    x = 674,427,915.06/16,718
  6. Step 6: Final answer
    x = 40,341.42

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Why These Related Problems?

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