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Finding the Third Proportional to 15,977.25 and 34,838.23

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Solution

The third proportional to 15,977.25 and 34,838.23 is: 75,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.25 : 34,838.23 = 34,838.23 : x
  2. Step 2: Convert to fraction form
    15,977.25/34,838.23 = 34,838.23/x
  3. Step 3: Cross multiply
    15,977.25x = 34,838.23 × 34,838.23
  4. Step 4: Simplify right side
    15,977.25x = 1,213,702,030.02
  5. Step 5: Solve for x
    x = 1,213,702,030.02/15,977.25
  6. Step 6: Final answer
    x = 75,964.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.