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Finding the Third Proportional to 42,241 and 61,825.50

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Solution

The third proportional to 42,241 and 61,825.50 is: 90,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 61,825.50 = 61,825.50 : x
  2. Step 2: Convert to fraction form
    42,241/61,825.50 = 61,825.50/x
  3. Step 3: Cross multiply
    42,241x = 61,825.50 × 61,825.50
  4. Step 4: Simplify right side
    42,241x = 3,822,392,450.25
  5. Step 5: Solve for x
    x = 3,822,392,450.25/42,241
  6. Step 6: Final answer
    x = 90,490.10

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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.