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Finding the Third Proportional to 7,269.75 and 10,924.88

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Solution

The third proportional to 7,269.75 and 10,924.88 is: 16,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.75 : 10,924.88 = 10,924.88 : x
  2. Step 2: Convert to fraction form
    7,269.75/10,924.88 = 10,924.88/x
  3. Step 3: Cross multiply
    7,269.75x = 10,924.88 × 10,924.88
  4. Step 4: Simplify right side
    7,269.75x = 119,352,893.77
  5. Step 5: Solve for x
    x = 119,352,893.77/7,269.75
  6. Step 6: Final answer
    x = 16,417.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.