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Finding the Third Proportional to 42,607.50 and 58,443.50

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Solution

The third proportional to 42,607.50 and 58,443.50 is: 80,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607.50 : 58,443.50 = 58,443.50 : x
  2. Step 2: Convert to fraction form
    42,607.50/58,443.50 = 58,443.50/x
  3. Step 3: Cross multiply
    42,607.50x = 58,443.50 × 58,443.50
  4. Step 4: Simplify right side
    42,607.50x = 3,415,642,692.25
  5. Step 5: Solve for x
    x = 3,415,642,692.25/42,607.50
  6. Step 6: Final answer
    x = 80,165.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.