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Finding the Third Proportional to 42,241.63 and 59,056.38

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Solution

The third proportional to 42,241.63 and 59,056.38 is: 82,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241.63 : 59,056.38 = 59,056.38 : x
  2. Step 2: Convert to fraction form
    42,241.63/59,056.38 = 59,056.38/x
  3. Step 3: Cross multiply
    42,241.63x = 59,056.38 × 59,056.38
  4. Step 4: Simplify right side
    42,241.63x = 3,487,655,428.14
  5. Step 5: Solve for x
    x = 3,487,655,428.14/42,241.63
  6. Step 6: Final answer
    x = 82,564.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.