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Finding the Third Proportional to 13,582.69 and 28,405.69

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Solution

The third proportional to 13,582.69 and 28,405.69 is: 59,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.69 : 28,405.69 = 28,405.69 : x
  2. Step 2: Convert to fraction form
    13,582.69/28,405.69 = 28,405.69/x
  3. Step 3: Cross multiply
    13,582.69x = 28,405.69 × 28,405.69
  4. Step 4: Simplify right side
    13,582.69x = 806,883,082.35
  5. Step 5: Solve for x
    x = 806,883,082.35/13,582.69
  6. Step 6: Final answer
    x = 59,405.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.