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Finding the Third Proportional to 13,775.06 and 20,624.63

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Solution

The third proportional to 13,775.06 and 20,624.63 is: 30,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.06 : 20,624.63 = 20,624.63 : x
  2. Step 2: Convert to fraction form
    13,775.06/20,624.63 = 20,624.63/x
  3. Step 3: Cross multiply
    13,775.06x = 20,624.63 × 20,624.63
  4. Step 4: Simplify right side
    13,775.06x = 425,375,156.39
  5. Step 5: Solve for x
    x = 425,375,156.39/13,775.06
  6. Step 6: Final answer
    x = 30,880.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.