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Finding the Third Proportional to 7,825.36 and 16,265.81

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Solution

The third proportional to 7,825.36 and 16,265.81 is: 33,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.36 : 16,265.81 = 16,265.81 : x
  2. Step 2: Convert to fraction form
    7,825.36/16,265.81 = 16,265.81/x
  3. Step 3: Cross multiply
    7,825.36x = 16,265.81 × 16,265.81
  4. Step 4: Simplify right side
    7,825.36x = 264,576,656.29
  5. Step 5: Solve for x
    x = 264,576,656.29/7,825.36
  6. Step 6: Final answer
    x = 33,810.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.