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Finding the Third Proportional to 13,702.50 and 20,703.94

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Solution

The third proportional to 13,702.50 and 20,703.94 is: 31,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.50 : 20,703.94 = 20,703.94 : x
  2. Step 2: Convert to fraction form
    13,702.50/20,703.94 = 20,703.94/x
  3. Step 3: Cross multiply
    13,702.50x = 20,703.94 × 20,703.94
  4. Step 4: Simplify right side
    13,702.50x = 428,653,028.00
  5. Step 5: Solve for x
    x = 428,653,028.00/13,702.50
  6. Step 6: Final answer
    x = 31,282.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.