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Finding the Third Proportional to 46,596 and 69,246

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Solution

The third proportional to 46,596 and 69,246 is: 102,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596 : 69,246 = 69,246 : x
  2. Step 2: Convert to fraction form
    46,596/69,246 = 69,246/x
  3. Step 3: Cross multiply
    46,596x = 69,246 × 69,246
  4. Step 4: Simplify right side
    46,596x = 4,795,008,516
  5. Step 5: Solve for x
    x = 4,795,008,516/46,596
  6. Step 6: Final answer
    x = 102,906.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.