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Finding the Third Proportional to 28,831 and 42,130

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Solution

The third proportional to 28,831 and 42,130 is: 61,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,831 : 42,130 = 42,130 : x
  2. Step 2: Convert to fraction form
    28,831/42,130 = 42,130/x
  3. Step 3: Cross multiply
    28,831x = 42,130 × 42,130
  4. Step 4: Simplify right side
    28,831x = 1,774,936,900
  5. Step 5: Solve for x
    x = 1,774,936,900/28,831
  6. Step 6: Final answer
    x = 61,563.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.