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Finding the Third Proportional to 20,632.50 and 43,290

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Solution

The third proportional to 20,632.50 and 43,290 is: 90,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.50 : 43,290 = 43,290 : x
  2. Step 2: Convert to fraction form
    20,632.50/43,290 = 43,290/x
  3. Step 3: Cross multiply
    20,632.50x = 43,290 × 43,290
  4. Step 4: Simplify right side
    20,632.50x = 1,874,024,100
  5. Step 5: Solve for x
    x = 1,874,024,100/20,632.50
  6. Step 6: Final answer
    x = 90,828.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.