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Finding the Third Proportional to 46,693 and 69,874.50

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Solution

The third proportional to 46,693 and 69,874.50 is: 104,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,693 : 69,874.50 = 69,874.50 : x
  2. Step 2: Convert to fraction form
    46,693/69,874.50 = 69,874.50/x
  3. Step 3: Cross multiply
    46,693x = 69,874.50 × 69,874.50
  4. Step 4: Simplify right side
    46,693x = 4,882,445,750.25
  5. Step 5: Solve for x
    x = 4,882,445,750.25/46,693
  6. Step 6: Final answer
    x = 104,564.83

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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.