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Finding the Third Proportional to 42,448.50 and 57,444.94

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Solution

The third proportional to 42,448.50 and 57,444.94 is: 77,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,448.50 : 57,444.94 = 57,444.94 : x
  2. Step 2: Convert to fraction form
    42,448.50/57,444.94 = 57,444.94/x
  3. Step 3: Cross multiply
    42,448.50x = 57,444.94 × 57,444.94
  4. Step 4: Simplify right side
    42,448.50x = 3,299,920,844.38
  5. Step 5: Solve for x
    x = 3,299,920,844.38/42,448.50
  6. Step 6: Final answer
    x = 77,739.40

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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.