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Finding the Third Proportional to 39,024 and 83,964

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Solution

The third proportional to 39,024 and 83,964 is: 180,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 83,964 = 83,964 : x
  2. Step 2: Convert to fraction form
    39,024/83,964 = 83,964/x
  3. Step 3: Cross multiply
    39,024x = 83,964 × 83,964
  4. Step 4: Simplify right side
    39,024x = 7,049,953,296
  5. Step 5: Solve for x
    x = 7,049,953,296/39,024
  6. Step 6: Final answer
    x = 180,656.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.