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Finding the Third Proportional to 5,768 and 9,740

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Solution

The third proportional to 5,768 and 9,740 is: 16,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 9,740 = 9,740 : x
  2. Step 2: Convert to fraction form
    5,768/9,740 = 9,740/x
  3. Step 3: Cross multiply
    5,768x = 9,740 × 9,740
  4. Step 4: Simplify right side
    5,768x = 94,867,600
  5. Step 5: Solve for x
    x = 94,867,600/5,768
  6. Step 6: Final answer
    x = 16,447.23

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.