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Finding the Third Proportional to 34,044 and 47,666

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Solution

The third proportional to 34,044 and 47,666 is: 66,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044 : 47,666 = 47,666 : x
  2. Step 2: Convert to fraction form
    34,044/47,666 = 47,666/x
  3. Step 3: Cross multiply
    34,044x = 47,666 × 47,666
  4. Step 4: Simplify right side
    34,044x = 2,272,047,556
  5. Step 5: Solve for x
    x = 2,272,047,556/34,044
  6. Step 6: Final answer
    x = 66,738.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.