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Finding the Third Proportional to 46,698 and 71,015

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Solution

The third proportional to 46,698 and 71,015 is: 107,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698 : 71,015 = 71,015 : x
  2. Step 2: Convert to fraction form
    46,698/71,015 = 71,015/x
  3. Step 3: Cross multiply
    46,698x = 71,015 × 71,015
  4. Step 4: Simplify right side
    46,698x = 5,043,130,225
  5. Step 5: Solve for x
    x = 5,043,130,225/46,698
  6. Step 6: Final answer
    x = 107,994.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.