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Finding the Third Proportional to 49,034 and 73,537

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Solution

The third proportional to 49,034 and 73,537 is: 110,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,034 : 73,537 = 73,537 : x
  2. Step 2: Convert to fraction form
    49,034/73,537 = 73,537/x
  3. Step 3: Cross multiply
    49,034x = 73,537 × 73,537
  4. Step 4: Simplify right side
    49,034x = 5,407,690,369
  5. Step 5: Solve for x
    x = 5,407,690,369/49,034
  6. Step 6: Final answer
    x = 110,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.