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Finding the Third Proportional to 21,628 and 46,045

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Solution

The third proportional to 21,628 and 46,045 is: 98,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628 : 46,045 = 46,045 : x
  2. Step 2: Convert to fraction form
    21,628/46,045 = 46,045/x
  3. Step 3: Cross multiply
    21,628x = 46,045 × 46,045
  4. Step 4: Simplify right side
    21,628x = 2,120,142,025
  5. Step 5: Solve for x
    x = 2,120,142,025/21,628
  6. Step 6: Final answer
    x = 98,027.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.