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Finding the Third Proportional to 30,476.25 and 73,413

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Solution

The third proportional to 30,476.25 and 73,413 is: 176,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.25 : 73,413 = 73,413 : x
  2. Step 2: Convert to fraction form
    30,476.25/73,413 = 73,413/x
  3. Step 3: Cross multiply
    30,476.25x = 73,413 × 73,413
  4. Step 4: Simplify right side
    30,476.25x = 5,389,468,569
  5. Step 5: Solve for x
    x = 5,389,468,569/30,476.25
  6. Step 6: Final answer
    x = 176,841.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.