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Finding the Third Proportional to 49,581 and 75,533.63

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Solution

The third proportional to 49,581 and 75,533.63 is: 115,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581 : 75,533.63 = 75,533.63 : x
  2. Step 2: Convert to fraction form
    49,581/75,533.63 = 75,533.63/x
  3. Step 3: Cross multiply
    49,581x = 75,533.63 × 75,533.63
  4. Step 4: Simplify right side
    49,581x = 5,705,328,505.64
  5. Step 5: Solve for x
    x = 5,705,328,505.64/49,581
  6. Step 6: Final answer
    x = 115,070.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.