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Finding the Third Proportional to 21,145 and 33,472.50

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Solution

The third proportional to 21,145 and 33,472.50 is: 52,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145 : 33,472.50 = 33,472.50 : x
  2. Step 2: Convert to fraction form
    21,145/33,472.50 = 33,472.50/x
  3. Step 3: Cross multiply
    21,145x = 33,472.50 × 33,472.50
  4. Step 4: Simplify right side
    21,145x = 1,120,408,256.25
  5. Step 5: Solve for x
    x = 1,120,408,256.25/21,145
  6. Step 6: Final answer
    x = 52,986.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.