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Finding the Third Proportional to 47,284 and 69,991

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Solution

The third proportional to 47,284 and 69,991 is: 103,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284 : 69,991 = 69,991 : x
  2. Step 2: Convert to fraction form
    47,284/69,991 = 69,991/x
  3. Step 3: Cross multiply
    47,284x = 69,991 × 69,991
  4. Step 4: Simplify right side
    47,284x = 4,898,740,081
  5. Step 5: Solve for x
    x = 4,898,740,081/47,284
  6. Step 6: Final answer
    x = 103,602.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.