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Finding the Third Proportional to 13,213 and 17,614.50

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Solution

The third proportional to 13,213 and 17,614.50 is: 23,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213 : 17,614.50 = 17,614.50 : x
  2. Step 2: Convert to fraction form
    13,213/17,614.50 = 17,614.50/x
  3. Step 3: Cross multiply
    13,213x = 17,614.50 × 17,614.50
  4. Step 4: Simplify right side
    13,213x = 310,270,610.25
  5. Step 5: Solve for x
    x = 310,270,610.25/13,213
  6. Step 6: Final answer
    x = 23,482.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.