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Finding the Third Proportional to 16,228 and 24,473

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Solution

The third proportional to 16,228 and 24,473 is: 36,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228 : 24,473 = 24,473 : x
  2. Step 2: Convert to fraction form
    16,228/24,473 = 24,473/x
  3. Step 3: Cross multiply
    16,228x = 24,473 × 24,473
  4. Step 4: Simplify right side
    16,228x = 598,927,729
  5. Step 5: Solve for x
    x = 598,927,729/16,228
  6. Step 6: Final answer
    x = 36,907.06

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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.