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Finding the Third Proportional to 21,476 and 32,511

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Solution

The third proportional to 21,476 and 32,511 is: 49,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476 : 32,511 = 32,511 : x
  2. Step 2: Convert to fraction form
    21,476/32,511 = 32,511/x
  3. Step 3: Cross multiply
    21,476x = 32,511 × 32,511
  4. Step 4: Simplify right side
    21,476x = 1,056,965,121
  5. Step 5: Solve for x
    x = 1,056,965,121/21,476
  6. Step 6: Final answer
    x = 49,216.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.