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Finding the Third Proportional to 10,838 and 14,637

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Solution

The third proportional to 10,838 and 14,637 is: 19,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838 : 14,637 = 14,637 : x
  2. Step 2: Convert to fraction form
    10,838/14,637 = 14,637/x
  3. Step 3: Cross multiply
    10,838x = 14,637 × 14,637
  4. Step 4: Simplify right side
    10,838x = 214,241,769
  5. Step 5: Solve for x
    x = 214,241,769/10,838
  6. Step 6: Final answer
    x = 19,767.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.