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Finding the Third Proportional to 30,260 and 46,666

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Solution

The third proportional to 30,260 and 46,666 is: 71,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260 : 46,666 = 46,666 : x
  2. Step 2: Convert to fraction form
    30,260/46,666 = 46,666/x
  3. Step 3: Cross multiply
    30,260x = 46,666 × 46,666
  4. Step 4: Simplify right side
    30,260x = 2,177,715,556
  5. Step 5: Solve for x
    x = 2,177,715,556/30,260
  6. Step 6: Final answer
    x = 71,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.