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Finding the Third Proportional to 6,069.94 and 13,265.02

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Solution

The third proportional to 6,069.94 and 13,265.02 is: 28,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.94 : 13,265.02 = 13,265.02 : x
  2. Step 2: Convert to fraction form
    6,069.94/13,265.02 = 13,265.02/x
  3. Step 3: Cross multiply
    6,069.94x = 13,265.02 × 13,265.02
  4. Step 4: Simplify right side
    6,069.94x = 175,960,639.53
  5. Step 5: Solve for x
    x = 175,960,639.53/6,069.94
  6. Step 6: Final answer
    x = 28,988.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.