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Finding the Third Proportional to 7,745 and 13,046

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Solution

The third proportional to 7,745 and 13,046 is: 21,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745 : 13,046 = 13,046 : x
  2. Step 2: Convert to fraction form
    7,745/13,046 = 13,046/x
  3. Step 3: Cross multiply
    7,745x = 13,046 × 13,046
  4. Step 4: Simplify right side
    7,745x = 170,198,116
  5. Step 5: Solve for x
    x = 170,198,116/7,745
  6. Step 6: Final answer
    x = 21,975.22

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.