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Finding the Third Proportional to 7,780 and 13,652

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Solution

The third proportional to 7,780 and 13,652 is: 23,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 13,652 = 13,652 : x
  2. Step 2: Convert to fraction form
    7,780/13,652 = 13,652/x
  3. Step 3: Cross multiply
    7,780x = 13,652 × 13,652
  4. Step 4: Simplify right side
    7,780x = 186,377,104
  5. Step 5: Solve for x
    x = 186,377,104/7,780
  6. Step 6: Final answer
    x = 23,955.93

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.