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Finding the Third Proportional to 10,750.22 and 15,638.06

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Solution

The third proportional to 10,750.22 and 15,638.06 is: 22,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.22 : 15,638.06 = 15,638.06 : x
  2. Step 2: Convert to fraction form
    10,750.22/15,638.06 = 15,638.06/x
  3. Step 3: Cross multiply
    10,750.22x = 15,638.06 × 15,638.06
  4. Step 4: Simplify right side
    10,750.22x = 244,548,998.75
  5. Step 5: Solve for x
    x = 244,548,998.75/10,750.22
  6. Step 6: Final answer
    x = 22,748.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.