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Finding the Third Proportional to 47,824 and 70,200

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Solution

The third proportional to 47,824 and 70,200 is: 103,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824 : 70,200 = 70,200 : x
  2. Step 2: Convert to fraction form
    47,824/70,200 = 70,200/x
  3. Step 3: Cross multiply
    47,824x = 70,200 × 70,200
  4. Step 4: Simplify right side
    47,824x = 4,928,040,000
  5. Step 5: Solve for x
    x = 4,928,040,000/47,824
  6. Step 6: Final answer
    x = 103,045.33

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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.