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Finding the Third Proportional to 7,627.45 and 11,809.23

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Solution

The third proportional to 7,627.45 and 11,809.23 is: 18,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.45 : 11,809.23 = 11,809.23 : x
  2. Step 2: Convert to fraction form
    7,627.45/11,809.23 = 11,809.23/x
  3. Step 3: Cross multiply
    7,627.45x = 11,809.23 × 11,809.23
  4. Step 4: Simplify right side
    7,627.45x = 139,457,924.26
  5. Step 5: Solve for x
    x = 139,457,924.26/7,627.45
  6. Step 6: Final answer
    x = 18,283.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.