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Finding the Third Proportional to 46,406 and 70,697

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Solution

The third proportional to 46,406 and 70,697 is: 107,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,406 : 70,697 = 70,697 : x
  2. Step 2: Convert to fraction form
    46,406/70,697 = 70,697/x
  3. Step 3: Cross multiply
    46,406x = 70,697 × 70,697
  4. Step 4: Simplify right side
    46,406x = 4,998,065,809
  5. Step 5: Solve for x
    x = 4,998,065,809/46,406
  6. Step 6: Final answer
    x = 107,703.01

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