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Finding the Third Proportional to 13,441 and 20,897.50

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Solution

The third proportional to 13,441 and 20,897.50 is: 32,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441 : 20,897.50 = 20,897.50 : x
  2. Step 2: Convert to fraction form
    13,441/20,897.50 = 20,897.50/x
  3. Step 3: Cross multiply
    13,441x = 20,897.50 × 20,897.50
  4. Step 4: Simplify right side
    13,441x = 436,705,506.25
  5. Step 5: Solve for x
    x = 436,705,506.25/13,441
  6. Step 6: Final answer
    x = 32,490.55

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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.