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Finding the Third Proportional to 20,502 and 44,233.50

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Solution

The third proportional to 20,502 and 44,233.50 is: 95,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502 : 44,233.50 = 44,233.50 : x
  2. Step 2: Convert to fraction form
    20,502/44,233.50 = 44,233.50/x
  3. Step 3: Cross multiply
    20,502x = 44,233.50 × 44,233.50
  4. Step 4: Simplify right side
    20,502x = 1,956,602,522.25
  5. Step 5: Solve for x
    x = 1,956,602,522.25/20,502
  6. Step 6: Final answer
    x = 95,434.71

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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.