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Finding the Third Proportional to 30,456 and 70,584

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Solution

The third proportional to 30,456 and 70,584 is: 163,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 70,584 = 70,584 : x
  2. Step 2: Convert to fraction form
    30,456/70,584 = 70,584/x
  3. Step 3: Cross multiply
    30,456x = 70,584 × 70,584
  4. Step 4: Simplify right side
    30,456x = 4,982,101,056
  5. Step 5: Solve for x
    x = 4,982,101,056/30,456
  6. Step 6: Final answer
    x = 163,583.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.