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Finding the Third Proportional to 42,852.94 and 64,238.91

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Solution

The third proportional to 42,852.94 and 64,238.91 is: 96,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852.94 : 64,238.91 = 64,238.91 : x
  2. Step 2: Convert to fraction form
    42,852.94/64,238.91 = 64,238.91/x
  3. Step 3: Cross multiply
    42,852.94x = 64,238.91 × 64,238.91
  4. Step 4: Simplify right side
    42,852.94x = 4,126,637,076.20
  5. Step 5: Solve for x
    x = 4,126,637,076.20/42,852.94
  6. Step 6: Final answer
    x = 96,297.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.