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Finding the Third Proportional to 10,407 and 16,553

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Solution

The third proportional to 10,407 and 16,553 is: 26,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 16,553 = 16,553 : x
  2. Step 2: Convert to fraction form
    10,407/16,553 = 16,553/x
  3. Step 3: Cross multiply
    10,407x = 16,553 × 16,553
  4. Step 4: Simplify right side
    10,407x = 274,001,809
  5. Step 5: Solve for x
    x = 274,001,809/10,407
  6. Step 6: Final answer
    x = 26,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.