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Finding the Third Proportional to 7,692 and 11,547

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Solution

The third proportional to 7,692 and 11,547 is: 17,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 11,547 = 11,547 : x
  2. Step 2: Convert to fraction form
    7,692/11,547 = 11,547/x
  3. Step 3: Cross multiply
    7,692x = 11,547 × 11,547
  4. Step 4: Simplify right side
    7,692x = 133,333,209
  5. Step 5: Solve for x
    x = 133,333,209/7,692
  6. Step 6: Final answer
    x = 17,334.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.