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Finding the Third Proportional to 38,058 and 59,391

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Solution

The third proportional to 38,058 and 59,391 is: 92,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058 : 59,391 = 59,391 : x
  2. Step 2: Convert to fraction form
    38,058/59,391 = 59,391/x
  3. Step 3: Cross multiply
    38,058x = 59,391 × 59,391
  4. Step 4: Simplify right side
    38,058x = 3,527,290,881
  5. Step 5: Solve for x
    x = 3,527,290,881/38,058
  6. Step 6: Final answer
    x = 92,681.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.