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Finding the Third Proportional to 46,621 and 71,701

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Solution

The third proportional to 46,621 and 71,701 is: 110,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,621 : 71,701 = 71,701 : x
  2. Step 2: Convert to fraction form
    46,621/71,701 = 71,701/x
  3. Step 3: Cross multiply
    46,621x = 71,701 × 71,701
  4. Step 4: Simplify right side
    46,621x = 5,141,033,401
  5. Step 5: Solve for x
    x = 5,141,033,401/46,621
  6. Step 6: Final answer
    x = 110,272.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.