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Finding the Third Proportional to 42,055.25 and 62,475.50

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Solution

The third proportional to 42,055.25 and 62,475.50 is: 92,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,055.25 : 62,475.50 = 62,475.50 : x
  2. Step 2: Convert to fraction form
    42,055.25/62,475.50 = 62,475.50/x
  3. Step 3: Cross multiply
    42,055.25x = 62,475.50 × 62,475.50
  4. Step 4: Simplify right side
    42,055.25x = 3,903,188,100.25
  5. Step 5: Solve for x
    x = 3,903,188,100.25/42,055.25
  6. Step 6: Final answer
    x = 92,810.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.