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Finding the Third Proportional to 39,274 and 85,460

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Solution

The third proportional to 39,274 and 85,460 is: 185,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,274 : 85,460 = 85,460 : x
  2. Step 2: Convert to fraction form
    39,274/85,460 = 85,460/x
  3. Step 3: Cross multiply
    39,274x = 85,460 × 85,460
  4. Step 4: Simplify right side
    39,274x = 7,303,411,600
  5. Step 5: Solve for x
    x = 7,303,411,600/39,274
  6. Step 6: Final answer
    x = 185,960.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.