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Finding the Third Proportional to 12,563.63 and 17,062.88

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Solution

The third proportional to 12,563.63 and 17,062.88 is: 23,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.63 : 17,062.88 = 17,062.88 : x
  2. Step 2: Convert to fraction form
    12,563.63/17,062.88 = 17,062.88/x
  3. Step 3: Cross multiply
    12,563.63x = 17,062.88 × 17,062.88
  4. Step 4: Simplify right side
    12,563.63x = 291,141,703.27
  5. Step 5: Solve for x
    x = 291,141,703.27/12,563.63
  6. Step 6: Final answer
    x = 23,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.