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Finding the Third Proportional to 37,051 and 79,935

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Solution

The third proportional to 37,051 and 79,935 is: 172,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051 : 79,935 = 79,935 : x
  2. Step 2: Convert to fraction form
    37,051/79,935 = 79,935/x
  3. Step 3: Cross multiply
    37,051x = 79,935 × 79,935
  4. Step 4: Simplify right side
    37,051x = 6,389,604,225
  5. Step 5: Solve for x
    x = 6,389,604,225/37,051
  6. Step 6: Final answer
    x = 172,454.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.