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Finding the Third Proportional to 7,356.38 and 9,445.31

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Solution

The third proportional to 7,356.38 and 9,445.31 is: 12,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.38 : 9,445.31 = 9,445.31 : x
  2. Step 2: Convert to fraction form
    7,356.38/9,445.31 = 9,445.31/x
  3. Step 3: Cross multiply
    7,356.38x = 9,445.31 × 9,445.31
  4. Step 4: Simplify right side
    7,356.38x = 89,213,928.22
  5. Step 5: Solve for x
    x = 89,213,928.22/7,356.38
  6. Step 6: Final answer
    x = 12,127.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.