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Finding the Third Proportional to 39,935 and 94,964

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Solution

The third proportional to 39,935 and 94,964 is: 225,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,935 : 94,964 = 94,964 : x
  2. Step 2: Convert to fraction form
    39,935/94,964 = 94,964/x
  3. Step 3: Cross multiply
    39,935x = 94,964 × 94,964
  4. Step 4: Simplify right side
    39,935x = 9,018,161,296
  5. Step 5: Solve for x
    x = 9,018,161,296/39,935
  6. Step 6: Final answer
    x = 225,820.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.