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Finding the Third Proportional to 28,156 and 43,964

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Solution

The third proportional to 28,156 and 43,964 is: 68,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,156 : 43,964 = 43,964 : x
  2. Step 2: Convert to fraction form
    28,156/43,964 = 43,964/x
  3. Step 3: Cross multiply
    28,156x = 43,964 × 43,964
  4. Step 4: Simplify right side
    28,156x = 1,932,833,296
  5. Step 5: Solve for x
    x = 1,932,833,296/28,156
  6. Step 6: Final answer
    x = 68,647.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.