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Finding the Third Proportional to 13,646.25 and 18,336.94

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Solution

The third proportional to 13,646.25 and 18,336.94 is: 24,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.25 : 18,336.94 = 18,336.94 : x
  2. Step 2: Convert to fraction form
    13,646.25/18,336.94 = 18,336.94/x
  3. Step 3: Cross multiply
    13,646.25x = 18,336.94 × 18,336.94
  4. Step 4: Simplify right side
    13,646.25x = 336,243,276.88
  5. Step 5: Solve for x
    x = 336,243,276.88/13,646.25
  6. Step 6: Final answer
    x = 24,639.98

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.