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Finding the Third Proportional to 28,152 and 44,576

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Solution

The third proportional to 28,152 and 44,576 is: 70,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,152 : 44,576 = 44,576 : x
  2. Step 2: Convert to fraction form
    28,152/44,576 = 44,576/x
  3. Step 3: Cross multiply
    28,152x = 44,576 × 44,576
  4. Step 4: Simplify right side
    28,152x = 1,987,019,776
  5. Step 5: Solve for x
    x = 1,987,019,776/28,152
  6. Step 6: Final answer
    x = 70,581.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.