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Finding the Third Proportional to 13,213.13 and 14,139.56

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Solution

The third proportional to 13,213.13 and 14,139.56 is: 15,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 14,139.56 = 14,139.56 : x
  2. Step 2: Convert to fraction form
    13,213.13/14,139.56 = 14,139.56/x
  3. Step 3: Cross multiply
    13,213.13x = 14,139.56 × 14,139.56
  4. Step 4: Simplify right side
    13,213.13x = 199,927,227.69
  5. Step 5: Solve for x
    x = 199,927,227.69/13,213.13
  6. Step 6: Final answer
    x = 15,130.96

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.