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Finding the Third Proportional to 27,819 and 57,577.50

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Solution

The third proportional to 27,819 and 57,577.50 is: 119,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819 : 57,577.50 = 57,577.50 : x
  2. Step 2: Convert to fraction form
    27,819/57,577.50 = 57,577.50/x
  3. Step 3: Cross multiply
    27,819x = 57,577.50 × 57,577.50
  4. Step 4: Simplify right side
    27,819x = 3,315,168,506.25
  5. Step 5: Solve for x
    x = 3,315,168,506.25/27,819
  6. Step 6: Final answer
    x = 119,169.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.