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Finding the Third Proportional to 46,326 and 69,465

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Solution

The third proportional to 46,326 and 69,465 is: 104,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,326 : 69,465 = 69,465 : x
  2. Step 2: Convert to fraction form
    46,326/69,465 = 69,465/x
  3. Step 3: Cross multiply
    46,326x = 69,465 × 69,465
  4. Step 4: Simplify right side
    46,326x = 4,825,386,225
  5. Step 5: Solve for x
    x = 4,825,386,225/46,326
  6. Step 6: Final answer
    x = 104,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.