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Finding the Third Proportional to 28,306 and 38,307

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Solution

The third proportional to 28,306 and 38,307 is: 51,841.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,306 : 38,307 = 38,307 : x
  2. Step 2: Convert to fraction form
    28,306/38,307 = 38,307/x
  3. Step 3: Cross multiply
    28,306x = 38,307 × 38,307
  4. Step 4: Simplify right side
    28,306x = 1,467,426,249
  5. Step 5: Solve for x
    x = 1,467,426,249/28,306
  6. Step 6: Final answer
    x = 51,841.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.