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Finding the Third Proportional to 21,573 and 46,146

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Solution

The third proportional to 21,573 and 46,146 is: 98,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573 : 46,146 = 46,146 : x
  2. Step 2: Convert to fraction form
    21,573/46,146 = 46,146/x
  3. Step 3: Cross multiply
    21,573x = 46,146 × 46,146
  4. Step 4: Simplify right side
    21,573x = 2,129,453,316
  5. Step 5: Solve for x
    x = 2,129,453,316/21,573
  6. Step 6: Final answer
    x = 98,709.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.