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Finding the Third Proportional to 7,706 and 10,303

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Solution

The third proportional to 7,706 and 10,303 is: 13,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 10,303 = 10,303 : x
  2. Step 2: Convert to fraction form
    7,706/10,303 = 10,303/x
  3. Step 3: Cross multiply
    7,706x = 10,303 × 10,303
  4. Step 4: Simplify right side
    7,706x = 106,151,809
  5. Step 5: Solve for x
    x = 106,151,809/7,706
  6. Step 6: Final answer
    x = 13,775.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.