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Finding the Third Proportional to 34,058.50 and 74,248

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Solution

The third proportional to 34,058.50 and 74,248 is: 161,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058.50 : 74,248 = 74,248 : x
  2. Step 2: Convert to fraction form
    34,058.50/74,248 = 74,248/x
  3. Step 3: Cross multiply
    34,058.50x = 74,248 × 74,248
  4. Step 4: Simplify right side
    34,058.50x = 5,512,765,504
  5. Step 5: Solve for x
    x = 5,512,765,504/34,058.50
  6. Step 6: Final answer
    x = 161,861.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.