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Finding the Third Proportional to 28,767 and 58,927

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Solution

The third proportional to 28,767 and 58,927 is: 120,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767 : 58,927 = 58,927 : x
  2. Step 2: Convert to fraction form
    28,767/58,927 = 58,927/x
  3. Step 3: Cross multiply
    28,767x = 58,927 × 58,927
  4. Step 4: Simplify right side
    28,767x = 3,472,391,329
  5. Step 5: Solve for x
    x = 3,472,391,329/28,767
  6. Step 6: Final answer
    x = 120,707.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.