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Finding the Third Proportional to 46,768 and 69,948

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Solution

The third proportional to 46,768 and 69,948 is: 104,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768 : 69,948 = 69,948 : x
  2. Step 2: Convert to fraction form
    46,768/69,948 = 69,948/x
  3. Step 3: Cross multiply
    46,768x = 69,948 × 69,948
  4. Step 4: Simplify right side
    46,768x = 4,892,722,704
  5. Step 5: Solve for x
    x = 4,892,722,704/46,768
  6. Step 6: Final answer
    x = 104,616.89

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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.