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Finding the Third Proportional to 39,370 and 58,946

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Solution

The third proportional to 39,370 and 58,946 is: 88,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,370 : 58,946 = 58,946 : x
  2. Step 2: Convert to fraction form
    39,370/58,946 = 58,946/x
  3. Step 3: Cross multiply
    39,370x = 58,946 × 58,946
  4. Step 4: Simplify right side
    39,370x = 3,474,630,916
  5. Step 5: Solve for x
    x = 3,474,630,916/39,370
  6. Step 6: Final answer
    x = 88,255.80

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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.