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Finding the Third Proportional to 11,954 and 17,547

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Solution

The third proportional to 11,954 and 17,547 is: 25,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954 : 17,547 = 17,547 : x
  2. Step 2: Convert to fraction form
    11,954/17,547 = 17,547/x
  3. Step 3: Cross multiply
    11,954x = 17,547 × 17,547
  4. Step 4: Simplify right side
    11,954x = 307,897,209
  5. Step 5: Solve for x
    x = 307,897,209/11,954
  6. Step 6: Final answer
    x = 25,756.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.