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Finding the Third Proportional to 2,058 and 2,362

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Solution

The third proportional to 2,058 and 2,362 is: 2,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058 : 2,362 = 2,362 : x
  2. Step 2: Convert to fraction form
    2,058/2,362 = 2,362/x
  3. Step 3: Cross multiply
    2,058x = 2,362 × 2,362
  4. Step 4: Simplify right side
    2,058x = 5,579,044
  5. Step 5: Solve for x
    x = 5,579,044/2,058
  6. Step 6: Final answer
    x = 2,710.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.