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Finding the Third Proportional to 9,689.63 and 13,074.75

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Solution

The third proportional to 9,689.63 and 13,074.75 is: 17,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.63 : 13,074.75 = 13,074.75 : x
  2. Step 2: Convert to fraction form
    9,689.63/13,074.75 = 13,074.75/x
  3. Step 3: Cross multiply
    9,689.63x = 13,074.75 × 13,074.75
  4. Step 4: Simplify right side
    9,689.63x = 170,949,087.56
  5. Step 5: Solve for x
    x = 170,949,087.56/9,689.63
  6. Step 6: Final answer
    x = 17,642.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.