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Finding the Third Proportional to 21,408 and 28,410

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Solution

The third proportional to 21,408 and 28,410 is: 37,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408 : 28,410 = 28,410 : x
  2. Step 2: Convert to fraction form
    21,408/28,410 = 28,410/x
  3. Step 3: Cross multiply
    21,408x = 28,410 × 28,410
  4. Step 4: Simplify right side
    21,408x = 807,128,100
  5. Step 5: Solve for x
    x = 807,128,100/21,408
  6. Step 6: Final answer
    x = 37,702.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.