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Finding the Third Proportional to 13,709 and 28,494.50

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Solution

The third proportional to 13,709 and 28,494.50 is: 59,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709 : 28,494.50 = 28,494.50 : x
  2. Step 2: Convert to fraction form
    13,709/28,494.50 = 28,494.50/x
  3. Step 3: Cross multiply
    13,709x = 28,494.50 × 28,494.50
  4. Step 4: Simplify right side
    13,709x = 811,936,530.25
  5. Step 5: Solve for x
    x = 811,936,530.25/13,709
  6. Step 6: Final answer
    x = 59,226.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.