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Finding the Third Proportional to 18,897 and 40,038

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Solution

The third proportional to 18,897 and 40,038 is: 84,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897 : 40,038 = 40,038 : x
  2. Step 2: Convert to fraction form
    18,897/40,038 = 40,038/x
  3. Step 3: Cross multiply
    18,897x = 40,038 × 40,038
  4. Step 4: Simplify right side
    18,897x = 1,603,041,444
  5. Step 5: Solve for x
    x = 1,603,041,444/18,897
  6. Step 6: Final answer
    x = 84,830.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.