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Finding the Third Proportional to 14,871.25 and 19,826

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Solution

The third proportional to 14,871.25 and 19,826 is: 26,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.25 : 19,826 = 19,826 : x
  2. Step 2: Convert to fraction form
    14,871.25/19,826 = 19,826/x
  3. Step 3: Cross multiply
    14,871.25x = 19,826 × 19,826
  4. Step 4: Simplify right side
    14,871.25x = 393,070,276
  5. Step 5: Solve for x
    x = 393,070,276/14,871.25
  6. Step 6: Final answer
    x = 26,431.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.