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Finding the Third Proportional to 39,058 and 58,492

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Solution

The third proportional to 39,058 and 58,492 is: 87,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,058 : 58,492 = 58,492 : x
  2. Step 2: Convert to fraction form
    39,058/58,492 = 58,492/x
  3. Step 3: Cross multiply
    39,058x = 58,492 × 58,492
  4. Step 4: Simplify right side
    39,058x = 3,421,314,064
  5. Step 5: Solve for x
    x = 3,421,314,064/39,058
  6. Step 6: Final answer
    x = 87,595.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.