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Finding the Third Proportional to 42,259.50 and 56,918.25

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Solution

The third proportional to 42,259.50 and 56,918.25 is: 76,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,259.50 : 56,918.25 = 56,918.25 : x
  2. Step 2: Convert to fraction form
    42,259.50/56,918.25 = 56,918.25/x
  3. Step 3: Cross multiply
    42,259.50x = 56,918.25 × 56,918.25
  4. Step 4: Simplify right side
    42,259.50x = 3,239,687,183.06
  5. Step 5: Solve for x
    x = 3,239,687,183.06/42,259.50
  6. Step 6: Final answer
    x = 76,661.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.