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Finding the Third Proportional to 28,077 and 46,788

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Solution

The third proportional to 28,077 and 46,788 is: 77,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077 : 46,788 = 46,788 : x
  2. Step 2: Convert to fraction form
    28,077/46,788 = 46,788/x
  3. Step 3: Cross multiply
    28,077x = 46,788 × 46,788
  4. Step 4: Simplify right side
    28,077x = 2,189,116,944
  5. Step 5: Solve for x
    x = 2,189,116,944/28,077
  6. Step 6: Final answer
    x = 77,968.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.