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Finding the Third Proportional to 21,897 and 32,992.31

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Solution

The third proportional to 21,897 and 32,992.31 is: 49,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897 : 32,992.31 = 32,992.31 : x
  2. Step 2: Convert to fraction form
    21,897/32,992.31 = 32,992.31/x
  3. Step 3: Cross multiply
    21,897x = 32,992.31 × 32,992.31
  4. Step 4: Simplify right side
    21,897x = 1,088,492,684.10
  5. Step 5: Solve for x
    x = 1,088,492,684.10/21,897
  6. Step 6: Final answer
    x = 49,709.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.