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Finding the Third Proportional to 45,238.50 and 49,339.13

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Solution

The third proportional to 45,238.50 and 49,339.13 is: 53,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238.50 : 49,339.13 = 49,339.13 : x
  2. Step 2: Convert to fraction form
    45,238.50/49,339.13 = 49,339.13/x
  3. Step 3: Cross multiply
    45,238.50x = 49,339.13 × 49,339.13
  4. Step 4: Simplify right side
    45,238.50x = 2,434,349,255.77
  5. Step 5: Solve for x
    x = 2,434,349,255.77/45,238.50
  6. Step 6: Final answer
    x = 53,811.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.