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Finding the Third Proportional to 38,046 and 56,859

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Solution

The third proportional to 38,046 and 56,859 is: 84,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046 : 56,859 = 56,859 : x
  2. Step 2: Convert to fraction form
    38,046/56,859 = 56,859/x
  3. Step 3: Cross multiply
    38,046x = 56,859 × 56,859
  4. Step 4: Simplify right side
    38,046x = 3,232,945,881
  5. Step 5: Solve for x
    x = 3,232,945,881/38,046
  6. Step 6: Final answer
    x = 84,974.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.