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Finding the Third Proportional to 30,192.75 and 43,122.38

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Solution

The third proportional to 30,192.75 and 43,122.38 is: 61,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.75 : 43,122.38 = 43,122.38 : x
  2. Step 2: Convert to fraction form
    30,192.75/43,122.38 = 43,122.38/x
  3. Step 3: Cross multiply
    30,192.75x = 43,122.38 × 43,122.38
  4. Step 4: Simplify right side
    30,192.75x = 1,859,539,225.64
  5. Step 5: Solve for x
    x = 1,859,539,225.64/30,192.75
  6. Step 6: Final answer
    x = 61,588.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.