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Finding the Third Proportional to 13,290 and 18,897

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Solution

The third proportional to 13,290 and 18,897 is: 26,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 18,897 = 18,897 : x
  2. Step 2: Convert to fraction form
    13,290/18,897 = 18,897/x
  3. Step 3: Cross multiply
    13,290x = 18,897 × 18,897
  4. Step 4: Simplify right side
    13,290x = 357,096,609
  5. Step 5: Solve for x
    x = 357,096,609/13,290
  6. Step 6: Final answer
    x = 26,869.57

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.