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Finding the Third Proportional to 22,964 and 35,444

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Solution

The third proportional to 22,964 and 35,444 is: 54,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964 : 35,444 = 35,444 : x
  2. Step 2: Convert to fraction form
    22,964/35,444 = 35,444/x
  3. Step 3: Cross multiply
    22,964x = 35,444 × 35,444
  4. Step 4: Simplify right side
    22,964x = 1,256,277,136
  5. Step 5: Solve for x
    x = 1,256,277,136/22,964
  6. Step 6: Final answer
    x = 54,706.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.