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Finding the Third Proportional to 5,653.13 and 14,500.69

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Solution

The third proportional to 5,653.13 and 14,500.69 is: 37,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.13 : 14,500.69 = 14,500.69 : x
  2. Step 2: Convert to fraction form
    5,653.13/14,500.69 = 14,500.69/x
  3. Step 3: Cross multiply
    5,653.13x = 14,500.69 × 14,500.69
  4. Step 4: Simplify right side
    5,653.13x = 210,269,937.97
  5. Step 5: Solve for x
    x = 210,269,937.97/5,653.13
  6. Step 6: Final answer
    x = 37,195.35

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.