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Finding the Third Proportional to 46,784 and 67,719

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Solution

The third proportional to 46,784 and 67,719 is: 98,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784 : 67,719 = 67,719 : x
  2. Step 2: Convert to fraction form
    46,784/67,719 = 67,719/x
  3. Step 3: Cross multiply
    46,784x = 67,719 × 67,719
  4. Step 4: Simplify right side
    46,784x = 4,585,862,961
  5. Step 5: Solve for x
    x = 4,585,862,961/46,784
  6. Step 6: Final answer
    x = 98,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.