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Finding the Third Proportional to 42,050.75 and 49,730.75

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Solution

The third proportional to 42,050.75 and 49,730.75 is: 58,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,050.75 : 49,730.75 = 49,730.75 : x
  2. Step 2: Convert to fraction form
    42,050.75/49,730.75 = 49,730.75/x
  3. Step 3: Cross multiply
    42,050.75x = 49,730.75 × 49,730.75
  4. Step 4: Simplify right side
    42,050.75x = 2,473,147,495.56
  5. Step 5: Solve for x
    x = 2,473,147,495.56/42,050.75
  6. Step 6: Final answer
    x = 58,813.40

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.