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Finding the Third Proportional to 30,573 and 47,253.38

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Solution

The third proportional to 30,573 and 47,253.38 is: 73,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573 : 47,253.38 = 47,253.38 : x
  2. Step 2: Convert to fraction form
    30,573/47,253.38 = 47,253.38/x
  3. Step 3: Cross multiply
    30,573x = 47,253.38 × 47,253.38
  4. Step 4: Simplify right side
    30,573x = 2,232,881,448.89
  5. Step 5: Solve for x
    x = 2,232,881,448.89/30,573
  6. Step 6: Final answer
    x = 73,034.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.