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Finding the Third Proportional to 20,038 and 44,117

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Solution

The third proportional to 20,038 and 44,117 is: 97,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038 : 44,117 = 44,117 : x
  2. Step 2: Convert to fraction form
    20,038/44,117 = 44,117/x
  3. Step 3: Cross multiply
    20,038x = 44,117 × 44,117
  4. Step 4: Simplify right side
    20,038x = 1,946,309,689
  5. Step 5: Solve for x
    x = 1,946,309,689/20,038
  6. Step 6: Final answer
    x = 97,130.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.