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Finding the Third Proportional to 13,582.13 and 28,639.13

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Solution

The third proportional to 13,582.13 and 28,639.13 is: 60,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.13 : 28,639.13 = 28,639.13 : x
  2. Step 2: Convert to fraction form
    13,582.13/28,639.13 = 28,639.13/x
  3. Step 3: Cross multiply
    13,582.13x = 28,639.13 × 28,639.13
  4. Step 4: Simplify right side
    13,582.13x = 820,199,480.77
  5. Step 5: Solve for x
    x = 820,199,480.77/13,582.13
  6. Step 6: Final answer
    x = 60,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.