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Finding the Third Proportional to 20,101.50 and 21,559.50

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Solution

The third proportional to 20,101.50 and 21,559.50 is: 23,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.50 : 21,559.50 = 21,559.50 : x
  2. Step 2: Convert to fraction form
    20,101.50/21,559.50 = 21,559.50/x
  3. Step 3: Cross multiply
    20,101.50x = 21,559.50 × 21,559.50
  4. Step 4: Simplify right side
    20,101.50x = 464,812,040.25
  5. Step 5: Solve for x
    x = 464,812,040.25/20,101.50
  6. Step 6: Final answer
    x = 23,123.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.