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Finding the Third Proportional to 25,009 and 54,666

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Solution

The third proportional to 25,009 and 54,666 is: 119,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009 : 54,666 = 54,666 : x
  2. Step 2: Convert to fraction form
    25,009/54,666 = 54,666/x
  3. Step 3: Cross multiply
    25,009x = 54,666 × 54,666
  4. Step 4: Simplify right side
    25,009x = 2,988,371,556
  5. Step 5: Solve for x
    x = 2,988,371,556/25,009
  6. Step 6: Final answer
    x = 119,491.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.