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Finding the Third Proportional to 28,161 and 42,153.75

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Solution

The third proportional to 28,161 and 42,153.75 is: 63,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,161 : 42,153.75 = 42,153.75 : x
  2. Step 2: Convert to fraction form
    28,161/42,153.75 = 42,153.75/x
  3. Step 3: Cross multiply
    28,161x = 42,153.75 × 42,153.75
  4. Step 4: Simplify right side
    28,161x = 1,776,938,639.06
  5. Step 5: Solve for x
    x = 1,776,938,639.06/28,161
  6. Step 6: Final answer
    x = 63,099.27

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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.