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Finding the Third Proportional to 21,000 and 45,684

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Solution

The third proportional to 21,000 and 45,684 is: 99,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 45,684 = 45,684 : x
  2. Step 2: Convert to fraction form
    21,000/45,684 = 45,684/x
  3. Step 3: Cross multiply
    21,000x = 45,684 × 45,684
  4. Step 4: Simplify right side
    21,000x = 2,087,027,856
  5. Step 5: Solve for x
    x = 2,087,027,856/21,000
  6. Step 6: Final answer
    x = 99,382.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.