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Finding the Third Proportional to 15,954.75 and 34,005.38

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Solution

The third proportional to 15,954.75 and 34,005.38 is: 72,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.75 : 34,005.38 = 34,005.38 : x
  2. Step 2: Convert to fraction form
    15,954.75/34,005.38 = 34,005.38/x
  3. Step 3: Cross multiply
    15,954.75x = 34,005.38 × 34,005.38
  4. Step 4: Simplify right side
    15,954.75x = 1,156,365,528.89
  5. Step 5: Solve for x
    x = 1,156,365,528.89/15,954.75
  6. Step 6: Final answer
    x = 72,477.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.