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Finding the Third Proportional to 34,080 and 46,930

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Solution

The third proportional to 34,080 and 46,930 is: 64,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 46,930 = 46,930 : x
  2. Step 2: Convert to fraction form
    34,080/46,930 = 46,930/x
  3. Step 3: Cross multiply
    34,080x = 46,930 × 46,930
  4. Step 4: Simplify right side
    34,080x = 2,202,424,900
  5. Step 5: Solve for x
    x = 2,202,424,900/34,080
  6. Step 6: Final answer
    x = 64,625.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.