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Finding the Third Proportional to 31,895 and 46,919.75

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Solution

The third proportional to 31,895 and 46,919.75 is: 69,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895 : 46,919.75 = 46,919.75 : x
  2. Step 2: Convert to fraction form
    31,895/46,919.75 = 46,919.75/x
  3. Step 3: Cross multiply
    31,895x = 46,919.75 × 46,919.75
  4. Step 4: Simplify right side
    31,895x = 2,201,462,940.06
  5. Step 5: Solve for x
    x = 2,201,462,940.06/31,895
  6. Step 6: Final answer
    x = 69,022.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.