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Finding the Third Proportional to 39,574 and 85,292

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Solution

The third proportional to 39,574 and 85,292 is: 183,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,574 : 85,292 = 85,292 : x
  2. Step 2: Convert to fraction form
    39,574/85,292 = 85,292/x
  3. Step 3: Cross multiply
    39,574x = 85,292 × 85,292
  4. Step 4: Simplify right side
    39,574x = 7,274,725,264
  5. Step 5: Solve for x
    x = 7,274,725,264/39,574
  6. Step 6: Final answer
    x = 183,825.88

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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.