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Finding the Third Proportional to 13,701 and 18,565.50

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Solution

The third proportional to 13,701 and 18,565.50 is: 25,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701 : 18,565.50 = 18,565.50 : x
  2. Step 2: Convert to fraction form
    13,701/18,565.50 = 18,565.50/x
  3. Step 3: Cross multiply
    13,701x = 18,565.50 × 18,565.50
  4. Step 4: Simplify right side
    13,701x = 344,677,790.25
  5. Step 5: Solve for x
    x = 344,677,790.25/13,701
  6. Step 6: Final answer
    x = 25,157.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.