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Finding the Third Proportional to 39,914 and 60,929

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Solution

The third proportional to 39,914 and 60,929 is: 93,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,914 : 60,929 = 60,929 : x
  2. Step 2: Convert to fraction form
    39,914/60,929 = 60,929/x
  3. Step 3: Cross multiply
    39,914x = 60,929 × 60,929
  4. Step 4: Simplify right side
    39,914x = 3,712,343,041
  5. Step 5: Solve for x
    x = 3,712,343,041/39,914
  6. Step 6: Final answer
    x = 93,008.54

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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.