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Finding the Third Proportional to 12,658.50 and 20,146.50

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Solution

The third proportional to 12,658.50 and 20,146.50 is: 32,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.50 : 20,146.50 = 20,146.50 : x
  2. Step 2: Convert to fraction form
    12,658.50/20,146.50 = 20,146.50/x
  3. Step 3: Cross multiply
    12,658.50x = 20,146.50 × 20,146.50
  4. Step 4: Simplify right side
    12,658.50x = 405,881,462.25
  5. Step 5: Solve for x
    x = 405,881,462.25/12,658.50
  6. Step 6: Final answer
    x = 32,063.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.