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Finding the Third Proportional to 46,284.75 and 99,765

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Solution

The third proportional to 46,284.75 and 99,765 is: 215,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284.75 : 99,765 = 99,765 : x
  2. Step 2: Convert to fraction form
    46,284.75/99,765 = 99,765/x
  3. Step 3: Cross multiply
    46,284.75x = 99,765 × 99,765
  4. Step 4: Simplify right side
    46,284.75x = 9,953,055,225
  5. Step 5: Solve for x
    x = 9,953,055,225/46,284.75
  6. Step 6: Final answer
    x = 215,039.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.