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Finding the Third Proportional to 58,512 and 79,992

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Solution

The third proportional to 58,512 and 79,992 is: 109,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512 : 79,992 = 79,992 : x
  2. Step 2: Convert to fraction form
    58,512/79,992 = 79,992/x
  3. Step 3: Cross multiply
    58,512x = 79,992 × 79,992
  4. Step 4: Simplify right side
    58,512x = 6,398,720,064
  5. Step 5: Solve for x
    x = 6,398,720,064/58,512
  6. Step 6: Final answer
    x = 109,357.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.