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Finding the Third Proportional to 43,284 and 57,798

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Solution

The third proportional to 43,284 and 57,798 is: 77,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,284 : 57,798 = 57,798 : x
  2. Step 2: Convert to fraction form
    43,284/57,798 = 57,798/x
  3. Step 3: Cross multiply
    43,284x = 57,798 × 57,798
  4. Step 4: Simplify right side
    43,284x = 3,340,608,804
  5. Step 5: Solve for x
    x = 3,340,608,804/43,284
  6. Step 6: Final answer
    x = 77,178.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.