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Finding the Third Proportional to 46,996 and 70,477

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Solution

The third proportional to 46,996 and 70,477 is: 105,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 70,477 = 70,477 : x
  2. Step 2: Convert to fraction form
    46,996/70,477 = 70,477/x
  3. Step 3: Cross multiply
    46,996x = 70,477 × 70,477
  4. Step 4: Simplify right side
    46,996x = 4,967,007,529
  5. Step 5: Solve for x
    x = 4,967,007,529/46,996
  6. Step 6: Final answer
    x = 105,690.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.