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Finding the Third Proportional to 28,985 and 38,824

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Solution

The third proportional to 28,985 and 38,824 is: 52,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,985 : 38,824 = 38,824 : x
  2. Step 2: Convert to fraction form
    28,985/38,824 = 38,824/x
  3. Step 3: Cross multiply
    28,985x = 38,824 × 38,824
  4. Step 4: Simplify right side
    28,985x = 1,507,302,976
  5. Step 5: Solve for x
    x = 1,507,302,976/28,985
  6. Step 6: Final answer
    x = 52,002.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.