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Finding the Third Proportional to 4,192.59 and 5,673.80

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Solution

The third proportional to 4,192.59 and 5,673.80 is: 7,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.59 : 5,673.80 = 5,673.80 : x
  2. Step 2: Convert to fraction form
    4,192.59/5,673.80 = 5,673.80/x
  3. Step 3: Cross multiply
    4,192.59x = 5,673.80 × 5,673.80
  4. Step 4: Simplify right side
    4,192.59x = 32,191,970.98
  5. Step 5: Solve for x
    x = 32,191,970.98/4,192.59
  6. Step 6: Final answer
    x = 7,678.29

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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.