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Finding the Third Proportional to 20,048 and 37,070

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Solution

The third proportional to 20,048 and 37,070 is: 68,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048 : 37,070 = 37,070 : x
  2. Step 2: Convert to fraction form
    20,048/37,070 = 37,070/x
  3. Step 3: Cross multiply
    20,048x = 37,070 × 37,070
  4. Step 4: Simplify right side
    20,048x = 1,374,184,900
  5. Step 5: Solve for x
    x = 1,374,184,900/20,048
  6. Step 6: Final answer
    x = 68,544.74

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.