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Finding the Third Proportional to 15,255.84 and 31,491.28

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Solution

The third proportional to 15,255.84 and 31,491.28 is: 65,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,255.84 : 31,491.28 = 31,491.28 : x
  2. Step 2: Convert to fraction form
    15,255.84/31,491.28 = 31,491.28/x
  3. Step 3: Cross multiply
    15,255.84x = 31,491.28 × 31,491.28
  4. Step 4: Simplify right side
    15,255.84x = 991,700,794.77
  5. Step 5: Solve for x
    x = 991,700,794.77/15,255.84
  6. Step 6: Final answer
    x = 65,004.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.