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Finding the Third Proportional to 7,683 and 10,128

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Solution

The third proportional to 7,683 and 10,128 is: 13,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683 : 10,128 = 10,128 : x
  2. Step 2: Convert to fraction form
    7,683/10,128 = 10,128/x
  3. Step 3: Cross multiply
    7,683x = 10,128 × 10,128
  4. Step 4: Simplify right side
    7,683x = 102,576,384
  5. Step 5: Solve for x
    x = 102,576,384/7,683
  6. Step 6: Final answer
    x = 13,351.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.