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Finding the Third Proportional to 13,091.63 and 24,269.63

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Solution

The third proportional to 13,091.63 and 24,269.63 is: 44,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.63 : 24,269.63 = 24,269.63 : x
  2. Step 2: Convert to fraction form
    13,091.63/24,269.63 = 24,269.63/x
  3. Step 3: Cross multiply
    13,091.63x = 24,269.63 × 24,269.63
  4. Step 4: Simplify right side
    13,091.63x = 589,014,697.64
  5. Step 5: Solve for x
    x = 589,014,697.64/13,091.63
  6. Step 6: Final answer
    x = 44,991.72

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.