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Finding the Third Proportional to 12,851 and 28,037

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Solution

The third proportional to 12,851 and 28,037 is: 61,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851 : 28,037 = 28,037 : x
  2. Step 2: Convert to fraction form
    12,851/28,037 = 28,037/x
  3. Step 3: Cross multiply
    12,851x = 28,037 × 28,037
  4. Step 4: Simplify right side
    12,851x = 786,073,369
  5. Step 5: Solve for x
    x = 786,073,369/12,851
  6. Step 6: Final answer
    x = 61,168.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.