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Finding the Third Proportional to 5,058 and 10,368

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Solution

The third proportional to 5,058 and 10,368 is: 21,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 10,368 = 10,368 : x
  2. Step 2: Convert to fraction form
    5,058/10,368 = 10,368/x
  3. Step 3: Cross multiply
    5,058x = 10,368 × 10,368
  4. Step 4: Simplify right side
    5,058x = 107,495,424
  5. Step 5: Solve for x
    x = 107,495,424/5,058
  6. Step 6: Final answer
    x = 21,252.56

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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.