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Finding the Third Proportional to 6,626.63 and 9,741.19

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Solution

The third proportional to 6,626.63 and 9,741.19 is: 14,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.63 : 9,741.19 = 9,741.19 : x
  2. Step 2: Convert to fraction form
    6,626.63/9,741.19 = 9,741.19/x
  3. Step 3: Cross multiply
    6,626.63x = 9,741.19 × 9,741.19
  4. Step 4: Simplify right side
    6,626.63x = 94,890,733.91
  5. Step 5: Solve for x
    x = 94,890,733.91/6,626.63
  6. Step 6: Final answer
    x = 14,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.