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Finding the Third Proportional to 46,989 and 68,719

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Solution

The third proportional to 46,989 and 68,719 is: 100,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,989 : 68,719 = 68,719 : x
  2. Step 2: Convert to fraction form
    46,989/68,719 = 68,719/x
  3. Step 3: Cross multiply
    46,989x = 68,719 × 68,719
  4. Step 4: Simplify right side
    46,989x = 4,722,300,961
  5. Step 5: Solve for x
    x = 4,722,300,961/46,989
  6. Step 6: Final answer
    x = 100,498.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.