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Finding the Third Proportional to 12,410 and 18,905

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Solution

The third proportional to 12,410 and 18,905 is: 28,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 18,905 = 18,905 : x
  2. Step 2: Convert to fraction form
    12,410/18,905 = 18,905/x
  3. Step 3: Cross multiply
    12,410x = 18,905 × 18,905
  4. Step 4: Simplify right side
    12,410x = 357,399,025
  5. Step 5: Solve for x
    x = 357,399,025/12,410
  6. Step 6: Final answer
    x = 28,799.28

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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.