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Finding the Third Proportional to 5,783.50 and 12,539

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Solution

The third proportional to 5,783.50 and 12,539 is: 27,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.50 : 12,539 = 12,539 : x
  2. Step 2: Convert to fraction form
    5,783.50/12,539 = 12,539/x
  3. Step 3: Cross multiply
    5,783.50x = 12,539 × 12,539
  4. Step 4: Simplify right side
    5,783.50x = 157,226,521
  5. Step 5: Solve for x
    x = 157,226,521/5,783.50
  6. Step 6: Final answer
    x = 27,185.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.