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Finding the Third Proportional to 57,384 and 84,325.50

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Solution

The third proportional to 57,384 and 84,325.50 is: 123,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 84,325.50 = 84,325.50 : x
  2. Step 2: Convert to fraction form
    57,384/84,325.50 = 84,325.50/x
  3. Step 3: Cross multiply
    57,384x = 84,325.50 × 84,325.50
  4. Step 4: Simplify right side
    57,384x = 7,110,789,950.25
  5. Step 5: Solve for x
    x = 7,110,789,950.25/57,384
  6. Step 6: Final answer
    x = 123,915.90

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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.