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Finding the Third Proportional to 7,156.69 and 10,882.69

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Solution

The third proportional to 7,156.69 and 10,882.69 is: 16,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.69 : 10,882.69 = 10,882.69 : x
  2. Step 2: Convert to fraction form
    7,156.69/10,882.69 = 10,882.69/x
  3. Step 3: Cross multiply
    7,156.69x = 10,882.69 × 10,882.69
  4. Step 4: Simplify right side
    7,156.69x = 118,432,887.22
  5. Step 5: Solve for x
    x = 118,432,887.22/7,156.69
  6. Step 6: Final answer
    x = 16,548.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.