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Finding the Third Proportional to 47,821 and 70,273

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Solution

The third proportional to 47,821 and 70,273 is: 103,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,821 : 70,273 = 70,273 : x
  2. Step 2: Convert to fraction form
    47,821/70,273 = 70,273/x
  3. Step 3: Cross multiply
    47,821x = 70,273 × 70,273
  4. Step 4: Simplify right side
    47,821x = 4,938,294,529
  5. Step 5: Solve for x
    x = 4,938,294,529/47,821
  6. Step 6: Final answer
    x = 103,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.