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Finding the Third Proportional to 12,893.34 and 17,396.02

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Solution

The third proportional to 12,893.34 and 17,396.02 is: 23,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.34 : 17,396.02 = 17,396.02 : x
  2. Step 2: Convert to fraction form
    12,893.34/17,396.02 = 17,396.02/x
  3. Step 3: Cross multiply
    12,893.34x = 17,396.02 × 17,396.02
  4. Step 4: Simplify right side
    12,893.34x = 302,621,359.63
  5. Step 5: Solve for x
    x = 302,621,359.63/12,893.34
  6. Step 6: Final answer
    x = 23,471.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.