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Finding the Third Proportional to 4,058 and 5,654

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Solution

The third proportional to 4,058 and 5,654 is: 7,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058 : 5,654 = 5,654 : x
  2. Step 2: Convert to fraction form
    4,058/5,654 = 5,654/x
  3. Step 3: Cross multiply
    4,058x = 5,654 × 5,654
  4. Step 4: Simplify right side
    4,058x = 31,967,716
  5. Step 5: Solve for x
    x = 31,967,716/4,058
  6. Step 6: Final answer
    x = 7,877.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.