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Finding the Third Proportional to 13,834.55 and 20,916.35

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Solution

The third proportional to 13,834.55 and 20,916.35 is: 31,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.55 : 20,916.35 = 20,916.35 : x
  2. Step 2: Convert to fraction form
    13,834.55/20,916.35 = 20,916.35/x
  3. Step 3: Cross multiply
    13,834.55x = 20,916.35 × 20,916.35
  4. Step 4: Simplify right side
    13,834.55x = 437,493,762.69
  5. Step 5: Solve for x
    x = 437,493,762.69/13,834.55
  6. Step 6: Final answer
    x = 31,623.28

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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.