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Finding the Third Proportional to 30,823 and 47,541

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Solution

The third proportional to 30,823 and 47,541 is: 73,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823 : 47,541 = 47,541 : x
  2. Step 2: Convert to fraction form
    30,823/47,541 = 47,541/x
  3. Step 3: Cross multiply
    30,823x = 47,541 × 47,541
  4. Step 4: Simplify right side
    30,823x = 2,260,146,681
  5. Step 5: Solve for x
    x = 2,260,146,681/30,823
  6. Step 6: Final answer
    x = 73,326.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.