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Finding the Third Proportional to 13,810.50 and 22,101.75

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Solution

The third proportional to 13,810.50 and 22,101.75 is: 35,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 22,101.75 = 22,101.75 : x
  2. Step 2: Convert to fraction form
    13,810.50/22,101.75 = 22,101.75/x
  3. Step 3: Cross multiply
    13,810.50x = 22,101.75 × 22,101.75
  4. Step 4: Simplify right side
    13,810.50x = 488,487,353.06
  5. Step 5: Solve for x
    x = 488,487,353.06/13,810.50
  6. Step 6: Final answer
    x = 35,370.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.