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Finding the Third Proportional to 46,440 and 67,716

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Solution

The third proportional to 46,440 and 67,716 is: 98,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440 : 67,716 = 67,716 : x
  2. Step 2: Convert to fraction form
    46,440/67,716 = 67,716/x
  3. Step 3: Cross multiply
    46,440x = 67,716 × 67,716
  4. Step 4: Simplify right side
    46,440x = 4,585,456,656
  5. Step 5: Solve for x
    x = 4,585,456,656/46,440
  6. Step 6: Final answer
    x = 98,739.38

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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.