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Finding the Third Proportional to 30,904 and 46,356

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Solution

The third proportional to 30,904 and 46,356 is: 69,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904 : 46,356 = 46,356 : x
  2. Step 2: Convert to fraction form
    30,904/46,356 = 46,356/x
  3. Step 3: Cross multiply
    30,904x = 46,356 × 46,356
  4. Step 4: Simplify right side
    30,904x = 2,148,878,736
  5. Step 5: Solve for x
    x = 2,148,878,736/30,904
  6. Step 6: Final answer
    x = 69,534

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.