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Finding the Third Proportional to 13,473 and 21,244.50

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Solution

The third proportional to 13,473 and 21,244.50 is: 33,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473 : 21,244.50 = 21,244.50 : x
  2. Step 2: Convert to fraction form
    13,473/21,244.50 = 21,244.50/x
  3. Step 3: Cross multiply
    13,473x = 21,244.50 × 21,244.50
  4. Step 4: Simplify right side
    13,473x = 451,328,780.25
  5. Step 5: Solve for x
    x = 451,328,780.25/13,473
  6. Step 6: Final answer
    x = 33,498.76

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Why These Related Problems?

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