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Finding the Third Proportional to 28,017 and 41,395.50

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Solution

The third proportional to 28,017 and 41,395.50 is: 61,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 41,395.50 = 41,395.50 : x
  2. Step 2: Convert to fraction form
    28,017/41,395.50 = 41,395.50/x
  3. Step 3: Cross multiply
    28,017x = 41,395.50 × 41,395.50
  4. Step 4: Simplify right side
    28,017x = 1,713,587,420.25
  5. Step 5: Solve for x
    x = 1,713,587,420.25/28,017
  6. Step 6: Final answer
    x = 61,162.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.