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Finding the Third Proportional to 7,695 and 11,325.38

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Solution

The third proportional to 7,695 and 11,325.38 is: 16,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 11,325.38 = 11,325.38 : x
  2. Step 2: Convert to fraction form
    7,695/11,325.38 = 11,325.38/x
  3. Step 3: Cross multiply
    7,695x = 11,325.38 × 11,325.38
  4. Step 4: Simplify right side
    7,695x = 128,264,118.89
  5. Step 5: Solve for x
    x = 128,264,118.89/7,695
  6. Step 6: Final answer
    x = 16,668.50

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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.