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Finding the Third Proportional to 21,336 and 45,468

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Solution

The third proportional to 21,336 and 45,468 is: 96,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336 : 45,468 = 45,468 : x
  2. Step 2: Convert to fraction form
    21,336/45,468 = 45,468/x
  3. Step 3: Cross multiply
    21,336x = 45,468 × 45,468
  4. Step 4: Simplify right side
    21,336x = 2,067,339,024
  5. Step 5: Solve for x
    x = 2,067,339,024/21,336
  6. Step 6: Final answer
    x = 96,894.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.