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Finding the Third Proportional to 13,293 and 18,625.50

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Solution

The third proportional to 13,293 and 18,625.50 is: 26,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293 : 18,625.50 = 18,625.50 : x
  2. Step 2: Convert to fraction form
    13,293/18,625.50 = 18,625.50/x
  3. Step 3: Cross multiply
    13,293x = 18,625.50 × 18,625.50
  4. Step 4: Simplify right side
    13,293x = 346,909,250.25
  5. Step 5: Solve for x
    x = 346,909,250.25/13,293
  6. Step 6: Final answer
    x = 26,097.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.