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Finding the Third Proportional to 6,495.19 and 14,029.03

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Solution

The third proportional to 6,495.19 and 14,029.03 is: 30,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.19 : 14,029.03 = 14,029.03 : x
  2. Step 2: Convert to fraction form
    6,495.19/14,029.03 = 14,029.03/x
  3. Step 3: Cross multiply
    6,495.19x = 14,029.03 × 14,029.03
  4. Step 4: Simplify right side
    6,495.19x = 196,813,717.81
  5. Step 5: Solve for x
    x = 196,813,717.81/6,495.19
  6. Step 6: Final answer
    x = 30,301.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.