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Finding the Third Proportional to 5,953 and 13,022

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Solution

The third proportional to 5,953 and 13,022 is: 28,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953 : 13,022 = 13,022 : x
  2. Step 2: Convert to fraction form
    5,953/13,022 = 13,022/x
  3. Step 3: Cross multiply
    5,953x = 13,022 × 13,022
  4. Step 4: Simplify right side
    5,953x = 169,572,484
  5. Step 5: Solve for x
    x = 169,572,484/5,953
  6. Step 6: Final answer
    x = 28,485.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.