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Finding the Third Proportional to 39,046 and 60,504

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Solution

The third proportional to 39,046 and 60,504 is: 93,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046 : 60,504 = 60,504 : x
  2. Step 2: Convert to fraction form
    39,046/60,504 = 60,504/x
  3. Step 3: Cross multiply
    39,046x = 60,504 × 60,504
  4. Step 4: Simplify right side
    39,046x = 3,660,734,016
  5. Step 5: Solve for x
    x = 3,660,734,016/39,046
  6. Step 6: Final answer
    x = 93,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.