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Finding the Third Proportional to 21,410 and 32,620

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Solution

The third proportional to 21,410 and 32,620 is: 49,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410 : 32,620 = 32,620 : x
  2. Step 2: Convert to fraction form
    21,410/32,620 = 32,620/x
  3. Step 3: Cross multiply
    21,410x = 32,620 × 32,620
  4. Step 4: Simplify right side
    21,410x = 1,064,064,400
  5. Step 5: Solve for x
    x = 1,064,064,400/21,410
  6. Step 6: Final answer
    x = 49,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.