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Finding the Third Proportional to 28,024.75 and 42,858.25

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Solution

The third proportional to 28,024.75 and 42,858.25 is: 65,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024.75 : 42,858.25 = 42,858.25 : x
  2. Step 2: Convert to fraction form
    28,024.75/42,858.25 = 42,858.25/x
  3. Step 3: Cross multiply
    28,024.75x = 42,858.25 × 42,858.25
  4. Step 4: Simplify right side
    28,024.75x = 1,836,829,593.06
  5. Step 5: Solve for x
    x = 1,836,829,593.06/28,024.75
  6. Step 6: Final answer
    x = 65,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.