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Finding the Third Proportional to 42,342.75 and 56,208.94

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Solution

The third proportional to 42,342.75 and 56,208.94 is: 74,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.75 : 56,208.94 = 56,208.94 : x
  2. Step 2: Convert to fraction form
    42,342.75/56,208.94 = 56,208.94/x
  3. Step 3: Cross multiply
    42,342.75x = 56,208.94 × 56,208.94
  4. Step 4: Simplify right side
    42,342.75x = 3,159,444,654.88
  5. Step 5: Solve for x
    x = 3,159,444,654.88/42,342.75
  6. Step 6: Final answer
    x = 74,615.95

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.