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Finding the Third Proportional to 30,017 and 43,476

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Solution

The third proportional to 30,017 and 43,476 is: 62,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017 : 43,476 = 43,476 : x
  2. Step 2: Convert to fraction form
    30,017/43,476 = 43,476/x
  3. Step 3: Cross multiply
    30,017x = 43,476 × 43,476
  4. Step 4: Simplify right side
    30,017x = 1,890,162,576
  5. Step 5: Solve for x
    x = 1,890,162,576/30,017
  6. Step 6: Final answer
    x = 62,969.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.