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Finding the Third Proportional to 21,584 and 46,714

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Solution

The third proportional to 21,584 and 46,714 is: 101,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 46,714 = 46,714 : x
  2. Step 2: Convert to fraction form
    21,584/46,714 = 46,714/x
  3. Step 3: Cross multiply
    21,584x = 46,714 × 46,714
  4. Step 4: Simplify right side
    21,584x = 2,182,197,796
  5. Step 5: Solve for x
    x = 2,182,197,796/21,584
  6. Step 6: Final answer
    x = 101,102.57

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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.