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Finding the Third Proportional to 30,818 and 72,725

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Solution

The third proportional to 30,818 and 72,725 is: 171,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818 : 72,725 = 72,725 : x
  2. Step 2: Convert to fraction form
    30,818/72,725 = 72,725/x
  3. Step 3: Cross multiply
    30,818x = 72,725 × 72,725
  4. Step 4: Simplify right side
    30,818x = 5,288,925,625
  5. Step 5: Solve for x
    x = 5,288,925,625/30,818
  6. Step 6: Final answer
    x = 171,618.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.