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Finding the Third Proportional to 39,228 and 60,020

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Solution

The third proportional to 39,228 and 60,020 is: 91,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 60,020 = 60,020 : x
  2. Step 2: Convert to fraction form
    39,228/60,020 = 60,020/x
  3. Step 3: Cross multiply
    39,228x = 60,020 × 60,020
  4. Step 4: Simplify right side
    39,228x = 3,602,400,400
  5. Step 5: Solve for x
    x = 3,602,400,400/39,228
  6. Step 6: Final answer
    x = 91,832.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.