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Finding the Third Proportional to 15,541 and 19,963.50

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Solution

The third proportional to 15,541 and 19,963.50 is: 25,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 19,963.50 = 19,963.50 : x
  2. Step 2: Convert to fraction form
    15,541/19,963.50 = 19,963.50/x
  3. Step 3: Cross multiply
    15,541x = 19,963.50 × 19,963.50
  4. Step 4: Simplify right side
    15,541x = 398,541,332.25
  5. Step 5: Solve for x
    x = 398,541,332.25/15,541
  6. Step 6: Final answer
    x = 25,644.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.