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Finding the Third Proportional to 38,312 and 57,512

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Solution

The third proportional to 38,312 and 57,512 is: 86,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 57,512 = 57,512 : x
  2. Step 2: Convert to fraction form
    38,312/57,512 = 57,512/x
  3. Step 3: Cross multiply
    38,312x = 57,512 × 57,512
  4. Step 4: Simplify right side
    38,312x = 3,307,630,144
  5. Step 5: Solve for x
    x = 3,307,630,144/38,312
  6. Step 6: Final answer
    x = 86,334.05

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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.