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Finding the Third Proportional to 28,086 and 42,706

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Solution

The third proportional to 28,086 and 42,706 is: 64,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,086 : 42,706 = 42,706 : x
  2. Step 2: Convert to fraction form
    28,086/42,706 = 42,706/x
  3. Step 3: Cross multiply
    28,086x = 42,706 × 42,706
  4. Step 4: Simplify right side
    28,086x = 1,823,802,436
  5. Step 5: Solve for x
    x = 1,823,802,436/28,086
  6. Step 6: Final answer
    x = 64,936.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.