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Finding the Third Proportional to 13,010.63 and 20,741.06

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Solution

The third proportional to 13,010.63 and 20,741.06 is: 33,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.63 : 20,741.06 = 20,741.06 : x
  2. Step 2: Convert to fraction form
    13,010.63/20,741.06 = 20,741.06/x
  3. Step 3: Cross multiply
    13,010.63x = 20,741.06 × 20,741.06
  4. Step 4: Simplify right side
    13,010.63x = 430,191,673.63
  5. Step 5: Solve for x
    x = 430,191,673.63/13,010.63
  6. Step 6: Final answer
    x = 33,064.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.