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Finding the Third Proportional to 7,391.46 and 11,164.08

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Solution

The third proportional to 7,391.46 and 11,164.08 is: 16,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.46 : 11,164.08 = 11,164.08 : x
  2. Step 2: Convert to fraction form
    7,391.46/11,164.08 = 11,164.08/x
  3. Step 3: Cross multiply
    7,391.46x = 11,164.08 × 11,164.08
  4. Step 4: Simplify right side
    7,391.46x = 124,636,640.38
  5. Step 5: Solve for x
    x = 124,636,640.38/7,391.46
  6. Step 6: Final answer
    x = 16,862.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.