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Finding the Third Proportional to 42,459 and 54,454.50

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Solution

The third proportional to 42,459 and 54,454.50 is: 69,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,459 : 54,454.50 = 54,454.50 : x
  2. Step 2: Convert to fraction form
    42,459/54,454.50 = 54,454.50/x
  3. Step 3: Cross multiply
    42,459x = 54,454.50 × 54,454.50
  4. Step 4: Simplify right side
    42,459x = 2,965,292,570.25
  5. Step 5: Solve for x
    x = 2,965,292,570.25/42,459
  6. Step 6: Final answer
    x = 69,838.96

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.