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Finding the Third Proportional to 49,232 and 73,830

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Solution

The third proportional to 49,232 and 73,830 is: 110,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232 : 73,830 = 73,830 : x
  2. Step 2: Convert to fraction form
    49,232/73,830 = 73,830/x
  3. Step 3: Cross multiply
    49,232x = 73,830 × 73,830
  4. Step 4: Simplify right side
    49,232x = 5,450,868,900
  5. Step 5: Solve for x
    x = 5,450,868,900/49,232
  6. Step 6: Final answer
    x = 110,718.01

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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.