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Finding the Third Proportional to 3,548.81 and 7,710.19

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Solution

The third proportional to 3,548.81 and 7,710.19 is: 16,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.81 : 7,710.19 = 7,710.19 : x
  2. Step 2: Convert to fraction form
    3,548.81/7,710.19 = 7,710.19/x
  3. Step 3: Cross multiply
    3,548.81x = 7,710.19 × 7,710.19
  4. Step 4: Simplify right side
    3,548.81x = 59,446,991.29
  5. Step 5: Solve for x
    x = 59,446,991.29/3,548.81
  6. Step 6: Final answer
    x = 16,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.