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Finding the Third Proportional to 28,264 and 42,307

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Solution

The third proportional to 28,264 and 42,307 is: 63,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,264 : 42,307 = 42,307 : x
  2. Step 2: Convert to fraction form
    28,264/42,307 = 42,307/x
  3. Step 3: Cross multiply
    28,264x = 42,307 × 42,307
  4. Step 4: Simplify right side
    28,264x = 1,789,882,249
  5. Step 5: Solve for x
    x = 1,789,882,249/28,264
  6. Step 6: Final answer
    x = 63,327.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.