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Finding the Third Proportional to 15,896.63 and 34,253.63

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Solution

The third proportional to 15,896.63 and 34,253.63 is: 73,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.63 : 34,253.63 = 34,253.63 : x
  2. Step 2: Convert to fraction form
    15,896.63/34,253.63 = 34,253.63/x
  3. Step 3: Cross multiply
    15,896.63x = 34,253.63 × 34,253.63
  4. Step 4: Simplify right side
    15,896.63x = 1,173,310,825.64
  5. Step 5: Solve for x
    x = 1,173,310,825.64/15,896.63
  6. Step 6: Final answer
    x = 73,808.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.