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Finding the Third Proportional to 28,026 and 40,307

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Solution

The third proportional to 28,026 and 40,307 is: 57,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 40,307 = 40,307 : x
  2. Step 2: Convert to fraction form
    28,026/40,307 = 40,307/x
  3. Step 3: Cross multiply
    28,026x = 40,307 × 40,307
  4. Step 4: Simplify right side
    28,026x = 1,624,654,249
  5. Step 5: Solve for x
    x = 1,624,654,249/28,026
  6. Step 6: Final answer
    x = 57,969.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.