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Finding the Third Proportional to 57,511.50 and 84,333

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Solution

The third proportional to 57,511.50 and 84,333 is: 123,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511.50 : 84,333 = 84,333 : x
  2. Step 2: Convert to fraction form
    57,511.50/84,333 = 84,333/x
  3. Step 3: Cross multiply
    57,511.50x = 84,333 × 84,333
  4. Step 4: Simplify right side
    57,511.50x = 7,112,054,889
  5. Step 5: Solve for x
    x = 7,112,054,889/57,511.50
  6. Step 6: Final answer
    x = 123,663.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.