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Finding the Third Proportional to 21,302 and 46,320

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Solution

The third proportional to 21,302 and 46,320 is: 100,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302 : 46,320 = 46,320 : x
  2. Step 2: Convert to fraction form
    21,302/46,320 = 46,320/x
  3. Step 3: Cross multiply
    21,302x = 46,320 × 46,320
  4. Step 4: Simplify right side
    21,302x = 2,145,542,400
  5. Step 5: Solve for x
    x = 2,145,542,400/21,302
  6. Step 6: Final answer
    x = 100,720.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.