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Finding the Third Proportional to 6,312.94 and 9,464.63

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Solution

The third proportional to 6,312.94 and 9,464.63 is: 14,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.94 : 9,464.63 = 9,464.63 : x
  2. Step 2: Convert to fraction form
    6,312.94/9,464.63 = 9,464.63/x
  3. Step 3: Cross multiply
    6,312.94x = 9,464.63 × 9,464.63
  4. Step 4: Simplify right side
    6,312.94x = 89,579,126.39
  5. Step 5: Solve for x
    x = 89,579,126.39/6,312.94
  6. Step 6: Final answer
    x = 14,189.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.