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Finding the Third Proportional to 39,307 and 60,911

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Solution

The third proportional to 39,307 and 60,911 is: 94,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,307 : 60,911 = 60,911 : x
  2. Step 2: Convert to fraction form
    39,307/60,911 = 60,911/x
  3. Step 3: Cross multiply
    39,307x = 60,911 × 60,911
  4. Step 4: Simplify right side
    39,307x = 3,710,149,921
  5. Step 5: Solve for x
    x = 3,710,149,921/39,307
  6. Step 6: Final answer
    x = 94,389.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.