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Finding the Third Proportional to 13,436.63 and 31,376.72

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Solution

The third proportional to 13,436.63 and 31,376.72 is: 73,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.63 : 31,376.72 = 31,376.72 : x
  2. Step 2: Convert to fraction form
    13,436.63/31,376.72 = 31,376.72/x
  3. Step 3: Cross multiply
    13,436.63x = 31,376.72 × 31,376.72
  4. Step 4: Simplify right side
    13,436.63x = 984,498,479.52
  5. Step 5: Solve for x
    x = 984,498,479.52/13,436.63
  6. Step 6: Final answer
    x = 73,269.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.