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Finding the Third Proportional to 7,394.63 and 10,400.63

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Solution

The third proportional to 7,394.63 and 10,400.63 is: 14,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.63 : 10,400.63 = 10,400.63 : x
  2. Step 2: Convert to fraction form
    7,394.63/10,400.63 = 10,400.63/x
  3. Step 3: Cross multiply
    7,394.63x = 10,400.63 × 10,400.63
  4. Step 4: Simplify right side
    7,394.63x = 108,173,000.39
  5. Step 5: Solve for x
    x = 108,173,000.39/7,394.63
  6. Step 6: Final answer
    x = 14,628.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.