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Finding the Third Proportional to 13,880.25 and 29,946.94

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Solution

The third proportional to 13,880.25 and 29,946.94 is: 64,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.25 : 29,946.94 = 29,946.94 : x
  2. Step 2: Convert to fraction form
    13,880.25/29,946.94 = 29,946.94/x
  3. Step 3: Cross multiply
    13,880.25x = 29,946.94 × 29,946.94
  4. Step 4: Simplify right side
    13,880.25x = 896,819,065.63
  5. Step 5: Solve for x
    x = 896,819,065.63/13,880.25
  6. Step 6: Final answer
    x = 64,611.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.