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Finding the Third Proportional to 38,605.50 and 58,000.50

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Solution

The third proportional to 38,605.50 and 58,000.50 is: 87,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.50 : 58,000.50 = 58,000.50 : x
  2. Step 2: Convert to fraction form
    38,605.50/58,000.50 = 58,000.50/x
  3. Step 3: Cross multiply
    38,605.50x = 58,000.50 × 58,000.50
  4. Step 4: Simplify right side
    38,605.50x = 3,364,058,000.25
  5. Step 5: Solve for x
    x = 3,364,058,000.25/38,605.50
  6. Step 6: Final answer
    x = 87,139.35

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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.