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Finding the Third Proportional to 20,389.69 and 28,712.81

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Solution

The third proportional to 20,389.69 and 28,712.81 is: 40,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.69 : 28,712.81 = 28,712.81 : x
  2. Step 2: Convert to fraction form
    20,389.69/28,712.81 = 28,712.81/x
  3. Step 3: Cross multiply
    20,389.69x = 28,712.81 × 28,712.81
  4. Step 4: Simplify right side
    20,389.69x = 824,425,601.66
  5. Step 5: Solve for x
    x = 824,425,601.66/20,389.69
  6. Step 6: Final answer
    x = 40,433.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.