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Finding the Third Proportional to 28,952 and 38,244

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Solution

The third proportional to 28,952 and 38,244 is: 50,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,952 : 38,244 = 38,244 : x
  2. Step 2: Convert to fraction form
    28,952/38,244 = 38,244/x
  3. Step 3: Cross multiply
    28,952x = 38,244 × 38,244
  4. Step 4: Simplify right side
    28,952x = 1,462,603,536
  5. Step 5: Solve for x
    x = 1,462,603,536/28,952
  6. Step 6: Final answer
    x = 50,518.22

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.