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Finding the Third Proportional to 10,305 and 14,863

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Solution

The third proportional to 10,305 and 14,863 is: 21,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 14,863 = 14,863 : x
  2. Step 2: Convert to fraction form
    10,305/14,863 = 14,863/x
  3. Step 3: Cross multiply
    10,305x = 14,863 × 14,863
  4. Step 4: Simplify right side
    10,305x = 220,908,769
  5. Step 5: Solve for x
    x = 220,908,769/10,305
  6. Step 6: Final answer
    x = 21,437.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.