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Finding the Third Proportional to 31,104 and 45,684

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Solution

The third proportional to 31,104 and 45,684 is: 67,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 45,684 = 45,684 : x
  2. Step 2: Convert to fraction form
    31,104/45,684 = 45,684/x
  3. Step 3: Cross multiply
    31,104x = 45,684 × 45,684
  4. Step 4: Simplify right side
    31,104x = 2,087,027,856
  5. Step 5: Solve for x
    x = 2,087,027,856/31,104
  6. Step 6: Final answer
    x = 67,098.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.