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Finding the Third Proportional to 21,452 and 46,584

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Solution

The third proportional to 21,452 and 46,584 is: 101,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452 : 46,584 = 46,584 : x
  2. Step 2: Convert to fraction form
    21,452/46,584 = 46,584/x
  3. Step 3: Cross multiply
    21,452x = 46,584 × 46,584
  4. Step 4: Simplify right side
    21,452x = 2,170,069,056
  5. Step 5: Solve for x
    x = 2,170,069,056/21,452
  6. Step 6: Final answer
    x = 101,159.29

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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.