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Finding the Third Proportional to 20,254 and 44,139.50

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Solution

The third proportional to 20,254 and 44,139.50 is: 96,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254 : 44,139.50 = 44,139.50 : x
  2. Step 2: Convert to fraction form
    20,254/44,139.50 = 44,139.50/x
  3. Step 3: Cross multiply
    20,254x = 44,139.50 × 44,139.50
  4. Step 4: Simplify right side
    20,254x = 1,948,295,460.25
  5. Step 5: Solve for x
    x = 1,948,295,460.25/20,254
  6. Step 6: Final answer
    x = 96,193.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.