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Finding the Third Proportional to 13,491.56 and 31,510.69

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Solution

The third proportional to 13,491.56 and 31,510.69 is: 73,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.56 : 31,510.69 = 31,510.69 : x
  2. Step 2: Convert to fraction form
    13,491.56/31,510.69 = 31,510.69/x
  3. Step 3: Cross multiply
    13,491.56x = 31,510.69 × 31,510.69
  4. Step 4: Simplify right side
    13,491.56x = 992,923,426.72
  5. Step 5: Solve for x
    x = 992,923,426.72/13,491.56
  6. Step 6: Final answer
    x = 73,595.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.