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Finding the Third Proportional to 13,851 and 21,315.38

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Solution

The third proportional to 13,851 and 21,315.38 is: 32,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 21,315.38 = 21,315.38 : x
  2. Step 2: Convert to fraction form
    13,851/21,315.38 = 21,315.38/x
  3. Step 3: Cross multiply
    13,851x = 21,315.38 × 21,315.38
  4. Step 4: Simplify right side
    13,851x = 454,345,211.39
  5. Step 5: Solve for x
    x = 454,345,211.39/13,851
  6. Step 6: Final answer
    x = 32,802.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.