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Finding the Third Proportional to 5,686.50 and 13,485

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Solution

The third proportional to 5,686.50 and 13,485 is: 31,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.50 : 13,485 = 13,485 : x
  2. Step 2: Convert to fraction form
    5,686.50/13,485 = 13,485/x
  3. Step 3: Cross multiply
    5,686.50x = 13,485 × 13,485
  4. Step 4: Simplify right side
    5,686.50x = 181,845,225
  5. Step 5: Solve for x
    x = 181,845,225/5,686.50
  6. Step 6: Final answer
    x = 31,978.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.