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Finding the Third Proportional to 8,048.81 and 10,746.56

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Solution

The third proportional to 8,048.81 and 10,746.56 is: 14,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.81 : 10,746.56 = 10,746.56 : x
  2. Step 2: Convert to fraction form
    8,048.81/10,746.56 = 10,746.56/x
  3. Step 3: Cross multiply
    8,048.81x = 10,746.56 × 10,746.56
  4. Step 4: Simplify right side
    8,048.81x = 115,488,605.57
  5. Step 5: Solve for x
    x = 115,488,605.57/8,048.81
  6. Step 6: Final answer
    x = 14,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.