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Finding the Third Proportional to 6,506.16 and 14,190.19

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Solution

The third proportional to 6,506.16 and 14,190.19 is: 30,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.16 : 14,190.19 = 14,190.19 : x
  2. Step 2: Convert to fraction form
    6,506.16/14,190.19 = 14,190.19/x
  3. Step 3: Cross multiply
    6,506.16x = 14,190.19 × 14,190.19
  4. Step 4: Simplify right side
    6,506.16x = 201,361,421.29
  5. Step 5: Solve for x
    x = 201,361,421.29/6,506.16
  6. Step 6: Final answer
    x = 30,949.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.