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Finding the Third Proportional to 35,058 and 54,315

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Solution

The third proportional to 35,058 and 54,315 is: 84,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058 : 54,315 = 54,315 : x
  2. Step 2: Convert to fraction form
    35,058/54,315 = 54,315/x
  3. Step 3: Cross multiply
    35,058x = 54,315 × 54,315
  4. Step 4: Simplify right side
    35,058x = 2,950,119,225
  5. Step 5: Solve for x
    x = 2,950,119,225/35,058
  6. Step 6: Final answer
    x = 84,149.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.