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Finding the Third Proportional to 24,890 and 38,058

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Solution

The third proportional to 24,890 and 38,058 is: 58,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890 : 38,058 = 38,058 : x
  2. Step 2: Convert to fraction form
    24,890/38,058 = 38,058/x
  3. Step 3: Cross multiply
    24,890x = 38,058 × 38,058
  4. Step 4: Simplify right side
    24,890x = 1,448,411,364
  5. Step 5: Solve for x
    x = 1,448,411,364/24,890
  6. Step 6: Final answer
    x = 58,192.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.