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Finding the Third Proportional to 30,822 and 40,476

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Solution

The third proportional to 30,822 and 40,476 is: 53,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 40,476 = 40,476 : x
  2. Step 2: Convert to fraction form
    30,822/40,476 = 40,476/x
  3. Step 3: Cross multiply
    30,822x = 40,476 × 40,476
  4. Step 4: Simplify right side
    30,822x = 1,638,306,576
  5. Step 5: Solve for x
    x = 1,638,306,576/30,822
  6. Step 6: Final answer
    x = 53,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.