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Finding the Third Proportional to 23,428 and 51,020

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Solution

The third proportional to 23,428 and 51,020 is: 111,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428 : 51,020 = 51,020 : x
  2. Step 2: Convert to fraction form
    23,428/51,020 = 51,020/x
  3. Step 3: Cross multiply
    23,428x = 51,020 × 51,020
  4. Step 4: Simplify right side
    23,428x = 2,603,040,400
  5. Step 5: Solve for x
    x = 2,603,040,400/23,428
  6. Step 6: Final answer
    x = 111,108.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.