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Finding the Third Proportional to 9,014.63 and 12,688.31

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Solution

The third proportional to 9,014.63 and 12,688.31 is: 17,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.63 : 12,688.31 = 12,688.31 : x
  2. Step 2: Convert to fraction form
    9,014.63/12,688.31 = 12,688.31/x
  3. Step 3: Cross multiply
    9,014.63x = 12,688.31 × 12,688.31
  4. Step 4: Simplify right side
    9,014.63x = 160,993,274.10
  5. Step 5: Solve for x
    x = 160,993,274.10/9,014.63
  6. Step 6: Final answer
    x = 17,859.12

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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.