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Finding the Third Proportional to 13,107 and 20,290.50

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Solution

The third proportional to 13,107 and 20,290.50 is: 31,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107 : 20,290.50 = 20,290.50 : x
  2. Step 2: Convert to fraction form
    13,107/20,290.50 = 20,290.50/x
  3. Step 3: Cross multiply
    13,107x = 20,290.50 × 20,290.50
  4. Step 4: Simplify right side
    13,107x = 411,704,390.25
  5. Step 5: Solve for x
    x = 411,704,390.25/13,107
  6. Step 6: Final answer
    x = 31,411.03

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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.