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Finding the Third Proportional to 37,385 and 79,953

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Solution

The third proportional to 37,385 and 79,953 is: 170,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,385 : 79,953 = 79,953 : x
  2. Step 2: Convert to fraction form
    37,385/79,953 = 79,953/x
  3. Step 3: Cross multiply
    37,385x = 79,953 × 79,953
  4. Step 4: Simplify right side
    37,385x = 6,392,482,209
  5. Step 5: Solve for x
    x = 6,392,482,209/37,385
  6. Step 6: Final answer
    x = 170,990.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.