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Finding the Third Proportional to 34,702.13 and 72,029.75

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Solution

The third proportional to 34,702.13 and 72,029.75 is: 149,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.13 : 72,029.75 = 72,029.75 : x
  2. Step 2: Convert to fraction form
    34,702.13/72,029.75 = 72,029.75/x
  3. Step 3: Cross multiply
    34,702.13x = 72,029.75 × 72,029.75
  4. Step 4: Simplify right side
    34,702.13x = 5,188,284,885.06
  5. Step 5: Solve for x
    x = 5,188,284,885.06/34,702.13
  6. Step 6: Final answer
    x = 149,509.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.