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Finding the Third Proportional to 15,872.63 and 33,856.31

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Solution

The third proportional to 15,872.63 and 33,856.31 is: 72,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.63 : 33,856.31 = 33,856.31 : x
  2. Step 2: Convert to fraction form
    15,872.63/33,856.31 = 33,856.31/x
  3. Step 3: Cross multiply
    15,872.63x = 33,856.31 × 33,856.31
  4. Step 4: Simplify right side
    15,872.63x = 1,146,249,896.10
  5. Step 5: Solve for x
    x = 1,146,249,896.10/15,872.63
  6. Step 6: Final answer
    x = 72,215.52

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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.