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Finding the Third Proportional to 40,602.94 and 85,649.06

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Solution

The third proportional to 40,602.94 and 85,649.06 is: 180,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,602.94 : 85,649.06 = 85,649.06 : x
  2. Step 2: Convert to fraction form
    40,602.94/85,649.06 = 85,649.06/x
  3. Step 3: Cross multiply
    40,602.94x = 85,649.06 × 85,649.06
  4. Step 4: Simplify right side
    40,602.94x = 7,335,761,907.13
  5. Step 5: Solve for x
    x = 7,335,761,907.13/40,602.94
  6. Step 6: Final answer
    x = 180,670.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.