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Finding the Third Proportional to 28,767 and 61,666

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Solution

The third proportional to 28,767 and 61,666 is: 132,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767 : 61,666 = 61,666 : x
  2. Step 2: Convert to fraction form
    28,767/61,666 = 61,666/x
  3. Step 3: Cross multiply
    28,767x = 61,666 × 61,666
  4. Step 4: Simplify right side
    28,767x = 3,802,695,556
  5. Step 5: Solve for x
    x = 3,802,695,556/28,767
  6. Step 6: Final answer
    x = 132,189.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.