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Finding the Third Proportional to 46,018 and 71,395

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Solution

The third proportional to 46,018 and 71,395 is: 110,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018 : 71,395 = 71,395 : x
  2. Step 2: Convert to fraction form
    46,018/71,395 = 71,395/x
  3. Step 3: Cross multiply
    46,018x = 71,395 × 71,395
  4. Step 4: Simplify right side
    46,018x = 5,097,246,025
  5. Step 5: Solve for x
    x = 5,097,246,025/46,018
  6. Step 6: Final answer
    x = 110,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.