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Finding the Third Proportional to 13,665 and 24,622.50

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Solution

The third proportional to 13,665 and 24,622.50 is: 44,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665 : 24,622.50 = 24,622.50 : x
  2. Step 2: Convert to fraction form
    13,665/24,622.50 = 24,622.50/x
  3. Step 3: Cross multiply
    13,665x = 24,622.50 × 24,622.50
  4. Step 4: Simplify right side
    13,665x = 606,267,506.25
  5. Step 5: Solve for x
    x = 606,267,506.25/13,665
  6. Step 6: Final answer
    x = 44,366.45

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.