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Finding the Third Proportional to 24,955 and 39,686

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Solution

The third proportional to 24,955 and 39,686 is: 63,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955 : 39,686 = 39,686 : x
  2. Step 2: Convert to fraction form
    24,955/39,686 = 39,686/x
  3. Step 3: Cross multiply
    24,955x = 39,686 × 39,686
  4. Step 4: Simplify right side
    24,955x = 1,574,978,596
  5. Step 5: Solve for x
    x = 1,574,978,596/24,955
  6. Step 6: Final answer
    x = 63,112.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.