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Finding the Third Proportional to 7,046.16 and 9,491.34

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Solution

The third proportional to 7,046.16 and 9,491.34 is: 12,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.16 : 9,491.34 = 9,491.34 : x
  2. Step 2: Convert to fraction form
    7,046.16/9,491.34 = 9,491.34/x
  3. Step 3: Cross multiply
    7,046.16x = 9,491.34 × 9,491.34
  4. Step 4: Simplify right side
    7,046.16x = 90,085,606.18
  5. Step 5: Solve for x
    x = 90,085,606.18/7,046.16
  6. Step 6: Final answer
    x = 12,785.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.