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Finding the Third Proportional to 13,594.50 and 19,251

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Solution

The third proportional to 13,594.50 and 19,251 is: 27,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.50 : 19,251 = 19,251 : x
  2. Step 2: Convert to fraction form
    13,594.50/19,251 = 19,251/x
  3. Step 3: Cross multiply
    13,594.50x = 19,251 × 19,251
  4. Step 4: Simplify right side
    13,594.50x = 370,601,001
  5. Step 5: Solve for x
    x = 370,601,001/13,594.50
  6. Step 6: Final answer
    x = 27,261.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.