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Finding the Third Proportional to 38,012.50 and 58,307

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Solution

The third proportional to 38,012.50 and 58,307 is: 89,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.50 : 58,307 = 58,307 : x
  2. Step 2: Convert to fraction form
    38,012.50/58,307 = 58,307/x
  3. Step 3: Cross multiply
    38,012.50x = 58,307 × 58,307
  4. Step 4: Simplify right side
    38,012.50x = 3,399,706,249
  5. Step 5: Solve for x
    x = 3,399,706,249/38,012.50
  6. Step 6: Final answer
    x = 89,436.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.