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Finding the Third Proportional to 42,453 and 62,091.50

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Solution

The third proportional to 42,453 and 62,091.50 is: 90,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453 : 62,091.50 = 62,091.50 : x
  2. Step 2: Convert to fraction form
    42,453/62,091.50 = 62,091.50/x
  3. Step 3: Cross multiply
    42,453x = 62,091.50 × 62,091.50
  4. Step 4: Simplify right side
    42,453x = 3,855,354,372.25
  5. Step 5: Solve for x
    x = 3,855,354,372.25/42,453
  6. Step 6: Final answer
    x = 90,814.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.