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Finding the Third Proportional to 10,610 and 14,160

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Solution

The third proportional to 10,610 and 14,160 is: 18,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610 : 14,160 = 14,160 : x
  2. Step 2: Convert to fraction form
    10,610/14,160 = 14,160/x
  3. Step 3: Cross multiply
    10,610x = 14,160 × 14,160
  4. Step 4: Simplify right side
    10,610x = 200,505,600
  5. Step 5: Solve for x
    x = 200,505,600/10,610
  6. Step 6: Final answer
    x = 18,897.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.