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Finding the Third Proportional to 20,247 and 42,541.50

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Solution

The third proportional to 20,247 and 42,541.50 is: 89,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,247 : 42,541.50 = 42,541.50 : x
  2. Step 2: Convert to fraction form
    20,247/42,541.50 = 42,541.50/x
  3. Step 3: Cross multiply
    20,247x = 42,541.50 × 42,541.50
  4. Step 4: Simplify right side
    20,247x = 1,809,779,222.25
  5. Step 5: Solve for x
    x = 1,809,779,222.25/20,247
  6. Step 6: Final answer
    x = 89,385.06

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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.