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Finding the Third Proportional to 20,386 and 44,036

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Solution

The third proportional to 20,386 and 44,036 is: 95,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386 : 44,036 = 44,036 : x
  2. Step 2: Convert to fraction form
    20,386/44,036 = 44,036/x
  3. Step 3: Cross multiply
    20,386x = 44,036 × 44,036
  4. Step 4: Simplify right side
    20,386x = 1,939,169,296
  5. Step 5: Solve for x
    x = 1,939,169,296/20,386
  6. Step 6: Final answer
    x = 95,122.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.