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Finding the Third Proportional to 13,916.50 and 24,526.86

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Solution

The third proportional to 13,916.50 and 24,526.86 is: 43,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.50 : 24,526.86 = 24,526.86 : x
  2. Step 2: Convert to fraction form
    13,916.50/24,526.86 = 24,526.86/x
  3. Step 3: Cross multiply
    13,916.50x = 24,526.86 × 24,526.86
  4. Step 4: Simplify right side
    13,916.50x = 601,567,022.42
  5. Step 5: Solve for x
    x = 601,567,022.42/13,916.50
  6. Step 6: Final answer
    x = 43,226.90

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.