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Finding the Third Proportional to 20,865.88 and 45,072.75

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Solution

The third proportional to 20,865.88 and 45,072.75 is: 97,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.88 : 45,072.75 = 45,072.75 : x
  2. Step 2: Convert to fraction form
    20,865.88/45,072.75 = 45,072.75/x
  3. Step 3: Cross multiply
    20,865.88x = 45,072.75 × 45,072.75
  4. Step 4: Simplify right side
    20,865.88x = 2,031,552,792.56
  5. Step 5: Solve for x
    x = 2,031,552,792.56/20,865.88
  6. Step 6: Final answer
    x = 97,362.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.