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Finding the Third Proportional to 10,122 and 13,365

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Solution

The third proportional to 10,122 and 13,365 is: 17,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 13,365 = 13,365 : x
  2. Step 2: Convert to fraction form
    10,122/13,365 = 13,365/x
  3. Step 3: Cross multiply
    10,122x = 13,365 × 13,365
  4. Step 4: Simplify right side
    10,122x = 178,623,225
  5. Step 5: Solve for x
    x = 178,623,225/10,122
  6. Step 6: Final answer
    x = 17,647.03

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.