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Finding the Third Proportional to 37,838 and 57,283

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Solution

The third proportional to 37,838 and 57,283 is: 86,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838 : 57,283 = 57,283 : x
  2. Step 2: Convert to fraction form
    37,838/57,283 = 57,283/x
  3. Step 3: Cross multiply
    37,838x = 57,283 × 57,283
  4. Step 4: Simplify right side
    37,838x = 3,281,342,089
  5. Step 5: Solve for x
    x = 3,281,342,089/37,838
  6. Step 6: Final answer
    x = 86,720.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.