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Finding the Third Proportional to 34,072 and 46,918

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Solution

The third proportional to 34,072 and 46,918 is: 64,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072 : 46,918 = 46,918 : x
  2. Step 2: Convert to fraction form
    34,072/46,918 = 46,918/x
  3. Step 3: Cross multiply
    34,072x = 46,918 × 46,918
  4. Step 4: Simplify right side
    34,072x = 2,201,298,724
  5. Step 5: Solve for x
    x = 2,201,298,724/34,072
  6. Step 6: Final answer
    x = 64,607.26

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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.