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Finding the Third Proportional to 20,270.50 and 44,537

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Solution

The third proportional to 20,270.50 and 44,537 is: 97,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.50 : 44,537 = 44,537 : x
  2. Step 2: Convert to fraction form
    20,270.50/44,537 = 44,537/x
  3. Step 3: Cross multiply
    20,270.50x = 44,537 × 44,537
  4. Step 4: Simplify right side
    20,270.50x = 1,983,544,369
  5. Step 5: Solve for x
    x = 1,983,544,369/20,270.50
  6. Step 6: Final answer
    x = 97,853.75

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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.