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Finding the Third Proportional to 13,562 and 31,685

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Solution

The third proportional to 13,562 and 31,685 is: 74,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562 : 31,685 = 31,685 : x
  2. Step 2: Convert to fraction form
    13,562/31,685 = 31,685/x
  3. Step 3: Cross multiply
    13,562x = 31,685 × 31,685
  4. Step 4: Simplify right side
    13,562x = 1,003,939,225
  5. Step 5: Solve for x
    x = 1,003,939,225/13,562
  6. Step 6: Final answer
    x = 74,025.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.