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Finding the Third Proportional to 9,907.31 and 13,585.22

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Solution

The third proportional to 9,907.31 and 13,585.22 is: 18,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.31 : 13,585.22 = 13,585.22 : x
  2. Step 2: Convert to fraction form
    9,907.31/13,585.22 = 13,585.22/x
  3. Step 3: Cross multiply
    9,907.31x = 13,585.22 × 13,585.22
  4. Step 4: Simplify right side
    9,907.31x = 184,558,168.49
  5. Step 5: Solve for x
    x = 184,558,168.49/9,907.31
  6. Step 6: Final answer
    x = 18,628.48

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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.