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Finding the Third Proportional to 3,666.94 and 7,854.47

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Solution

The third proportional to 3,666.94 and 7,854.47 is: 16,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.94 : 7,854.47 = 7,854.47 : x
  2. Step 2: Convert to fraction form
    3,666.94/7,854.47 = 7,854.47/x
  3. Step 3: Cross multiply
    3,666.94x = 7,854.47 × 7,854.47
  4. Step 4: Simplify right side
    3,666.94x = 61,692,679.34
  5. Step 5: Solve for x
    x = 61,692,679.34/3,666.94
  6. Step 6: Final answer
    x = 16,824.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.