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Finding the Third Proportional to 30,276 and 46,822

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Solution

The third proportional to 30,276 and 46,822 is: 72,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276 : 46,822 = 46,822 : x
  2. Step 2: Convert to fraction form
    30,276/46,822 = 46,822/x
  3. Step 3: Cross multiply
    30,276x = 46,822 × 46,822
  4. Step 4: Simplify right side
    30,276x = 2,192,299,684
  5. Step 5: Solve for x
    x = 2,192,299,684/30,276
  6. Step 6: Final answer
    x = 72,410.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.