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Finding the Third Proportional to 13,749 and 21,325.50

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Solution

The third proportional to 13,749 and 21,325.50 is: 33,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 21,325.50 = 21,325.50 : x
  2. Step 2: Convert to fraction form
    13,749/21,325.50 = 21,325.50/x
  3. Step 3: Cross multiply
    13,749x = 21,325.50 × 21,325.50
  4. Step 4: Simplify right side
    13,749x = 454,776,950.25
  5. Step 5: Solve for x
    x = 454,776,950.25/13,749
  6. Step 6: Final answer
    x = 33,077.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.