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Finding the Third Proportional to 13,706.25 and 28,489.88

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Solution

The third proportional to 13,706.25 and 28,489.88 is: 59,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.25 : 28,489.88 = 28,489.88 : x
  2. Step 2: Convert to fraction form
    13,706.25/28,489.88 = 28,489.88/x
  3. Step 3: Cross multiply
    13,706.25x = 28,489.88 × 28,489.88
  4. Step 4: Simplify right side
    13,706.25x = 811,672,977.52
  5. Step 5: Solve for x
    x = 811,672,977.52/13,706.25
  6. Step 6: Final answer
    x = 59,219.19

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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.