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Finding the Third Proportional to 7,636.78 and 10,473.05

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Solution

The third proportional to 7,636.78 and 10,473.05 is: 14,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.78 : 10,473.05 = 10,473.05 : x
  2. Step 2: Convert to fraction form
    7,636.78/10,473.05 = 10,473.05/x
  3. Step 3: Cross multiply
    7,636.78x = 10,473.05 × 10,473.05
  4. Step 4: Simplify right side
    7,636.78x = 109,684,710.85
  5. Step 5: Solve for x
    x = 109,684,710.85/7,636.78
  6. Step 6: Final answer
    x = 14,362.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.