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Finding the Third Proportional to 46,716.75 and 61,904.25

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Solution

The third proportional to 46,716.75 and 61,904.25 is: 82,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716.75 : 61,904.25 = 61,904.25 : x
  2. Step 2: Convert to fraction form
    46,716.75/61,904.25 = 61,904.25/x
  3. Step 3: Cross multiply
    46,716.75x = 61,904.25 × 61,904.25
  4. Step 4: Simplify right side
    46,716.75x = 3,832,136,168.06
  5. Step 5: Solve for x
    x = 3,832,136,168.06/46,716.75
  6. Step 6: Final answer
    x = 82,029.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.