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Finding the Third Proportional to 13,747.50 and 18,495

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Solution

The third proportional to 13,747.50 and 18,495 is: 24,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.50 : 18,495 = 18,495 : x
  2. Step 2: Convert to fraction form
    13,747.50/18,495 = 18,495/x
  3. Step 3: Cross multiply
    13,747.50x = 18,495 × 18,495
  4. Step 4: Simplify right side
    13,747.50x = 342,065,025
  5. Step 5: Solve for x
    x = 342,065,025/13,747.50
  6. Step 6: Final answer
    x = 24,881.98

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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.