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Finding the Third Proportional to 38,292 and 57,480

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Solution

The third proportional to 38,292 and 57,480 is: 86,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292 : 57,480 = 57,480 : x
  2. Step 2: Convert to fraction form
    38,292/57,480 = 57,480/x
  3. Step 3: Cross multiply
    38,292x = 57,480 × 57,480
  4. Step 4: Simplify right side
    38,292x = 3,303,950,400
  5. Step 5: Solve for x
    x = 3,303,950,400/38,292
  6. Step 6: Final answer
    x = 86,283.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.