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Finding the Third Proportional to 18,428 and 25,023

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Solution

The third proportional to 18,428 and 25,023 is: 33,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428 : 25,023 = 25,023 : x
  2. Step 2: Convert to fraction form
    18,428/25,023 = 25,023/x
  3. Step 3: Cross multiply
    18,428x = 25,023 × 25,023
  4. Step 4: Simplify right side
    18,428x = 626,150,529
  5. Step 5: Solve for x
    x = 626,150,529/18,428
  6. Step 6: Final answer
    x = 33,978.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.