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Finding the Third Proportional to 30,773.67 and 44,005.78

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Solution

The third proportional to 30,773.67 and 44,005.78 is: 62,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.67 : 44,005.78 = 44,005.78 : x
  2. Step 2: Convert to fraction form
    30,773.67/44,005.78 = 44,005.78/x
  3. Step 3: Cross multiply
    30,773.67x = 44,005.78 × 44,005.78
  4. Step 4: Simplify right side
    30,773.67x = 1,936,508,783.42
  5. Step 5: Solve for x
    x = 1,936,508,783.42/30,773.67
  6. Step 6: Final answer
    x = 62,927.45

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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.