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Finding the Third Proportional to 28,942.31 and 42,175.69

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Solution

The third proportional to 28,942.31 and 42,175.69 is: 61,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,942.31 : 42,175.69 = 42,175.69 : x
  2. Step 2: Convert to fraction form
    28,942.31/42,175.69 = 42,175.69/x
  3. Step 3: Cross multiply
    28,942.31x = 42,175.69 × 42,175.69
  4. Step 4: Simplify right side
    28,942.31x = 1,778,788,616.10
  5. Step 5: Solve for x
    x = 1,778,788,616.10/28,942.31
  6. Step 6: Final answer
    x = 61,459.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.