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Finding the Third Proportional to 49,575 and 75,524

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Solution

The third proportional to 49,575 and 75,524 is: 115,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575 : 75,524 = 75,524 : x
  2. Step 2: Convert to fraction form
    49,575/75,524 = 75,524/x
  3. Step 3: Cross multiply
    49,575x = 75,524 × 75,524
  4. Step 4: Simplify right side
    49,575x = 5,703,874,576
  5. Step 5: Solve for x
    x = 5,703,874,576/49,575
  6. Step 6: Final answer
    x = 115,055.46

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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.