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Finding the Third Proportional to 15,806 and 23,058

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Solution

The third proportional to 15,806 and 23,058 is: 33,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 23,058 = 23,058 : x
  2. Step 2: Convert to fraction form
    15,806/23,058 = 23,058/x
  3. Step 3: Cross multiply
    15,806x = 23,058 × 23,058
  4. Step 4: Simplify right side
    15,806x = 531,671,364
  5. Step 5: Solve for x
    x = 531,671,364/15,806
  6. Step 6: Final answer
    x = 33,637.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.