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Finding the Third Proportional to 23,897 and 35,022

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Solution

The third proportional to 23,897 and 35,022 is: 51,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897 : 35,022 = 35,022 : x
  2. Step 2: Convert to fraction form
    23,897/35,022 = 35,022/x
  3. Step 3: Cross multiply
    23,897x = 35,022 × 35,022
  4. Step 4: Simplify right side
    23,897x = 1,226,540,484
  5. Step 5: Solve for x
    x = 1,226,540,484/23,897
  6. Step 6: Final answer
    x = 51,326.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.