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Finding the Third Proportional to 28,706 and 42,116

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Solution

The third proportional to 28,706 and 42,116 is: 61,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706 : 42,116 = 42,116 : x
  2. Step 2: Convert to fraction form
    28,706/42,116 = 42,116/x
  3. Step 3: Cross multiply
    28,706x = 42,116 × 42,116
  4. Step 4: Simplify right side
    28,706x = 1,773,757,456
  5. Step 5: Solve for x
    x = 1,773,757,456/28,706
  6. Step 6: Final answer
    x = 61,790.48

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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.