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Finding the Third Proportional to 7,671.59 and 10,866.66

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Solution

The third proportional to 7,671.59 and 10,866.66 is: 15,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.59 : 10,866.66 = 10,866.66 : x
  2. Step 2: Convert to fraction form
    7,671.59/10,866.66 = 10,866.66/x
  3. Step 3: Cross multiply
    7,671.59x = 10,866.66 × 10,866.66
  4. Step 4: Simplify right side
    7,671.59x = 118,084,218.06
  5. Step 5: Solve for x
    x = 118,084,218.06/7,671.59
  6. Step 6: Final answer
    x = 15,392.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.