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Finding the Third Proportional to 13,774.50 and 22,497.75

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Solution

The third proportional to 13,774.50 and 22,497.75 is: 36,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.50 : 22,497.75 = 22,497.75 : x
  2. Step 2: Convert to fraction form
    13,774.50/22,497.75 = 22,497.75/x
  3. Step 3: Cross multiply
    13,774.50x = 22,497.75 × 22,497.75
  4. Step 4: Simplify right side
    13,774.50x = 506,148,755.06
  5. Step 5: Solve for x
    x = 506,148,755.06/13,774.50
  6. Step 6: Final answer
    x = 36,745.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.