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Finding the Third Proportional to 20,518.31 and 30,924.28

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Solution

The third proportional to 20,518.31 and 30,924.28 is: 46,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.31 : 30,924.28 = 30,924.28 : x
  2. Step 2: Convert to fraction form
    20,518.31/30,924.28 = 30,924.28/x
  3. Step 3: Cross multiply
    20,518.31x = 30,924.28 × 30,924.28
  4. Step 4: Simplify right side
    20,518.31x = 956,311,170.83
  5. Step 5: Solve for x
    x = 956,311,170.83/20,518.31
  6. Step 6: Final answer
    x = 46,607.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.