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Finding the Third Proportional to 28,400 and 42,998

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Solution

The third proportional to 28,400 and 42,998 is: 65,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,400 : 42,998 = 42,998 : x
  2. Step 2: Convert to fraction form
    28,400/42,998 = 42,998/x
  3. Step 3: Cross multiply
    28,400x = 42,998 × 42,998
  4. Step 4: Simplify right side
    28,400x = 1,848,828,004
  5. Step 5: Solve for x
    x = 1,848,828,004/28,400
  6. Step 6: Final answer
    x = 65,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.