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Finding the Third Proportional to 24,722.16 and 36,620.86

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Solution

The third proportional to 24,722.16 and 36,620.86 is: 54,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.16 : 36,620.86 = 36,620.86 : x
  2. Step 2: Convert to fraction form
    24,722.16/36,620.86 = 36,620.86/x
  3. Step 3: Cross multiply
    24,722.16x = 36,620.86 × 36,620.86
  4. Step 4: Simplify right side
    24,722.16x = 1,341,087,341.36
  5. Step 5: Solve for x
    x = 1,341,087,341.36/24,722.16
  6. Step 6: Final answer
    x = 54,246.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.