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Finding the Third Proportional to 21,369 and 35,468

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Solution

The third proportional to 21,369 and 35,468 is: 58,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369 : 35,468 = 35,468 : x
  2. Step 2: Convert to fraction form
    21,369/35,468 = 35,468/x
  3. Step 3: Cross multiply
    21,369x = 35,468 × 35,468
  4. Step 4: Simplify right side
    21,369x = 1,257,979,024
  5. Step 5: Solve for x
    x = 1,257,979,024/21,369
  6. Step 6: Final answer
    x = 58,869.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.