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Finding the Third Proportional to 37,520 and 79,396

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Solution

The third proportional to 37,520 and 79,396 is: 168,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,520 : 79,396 = 79,396 : x
  2. Step 2: Convert to fraction form
    37,520/79,396 = 79,396/x
  3. Step 3: Cross multiply
    37,520x = 79,396 × 79,396
  4. Step 4: Simplify right side
    37,520x = 6,303,724,816
  5. Step 5: Solve for x
    x = 6,303,724,816/37,520
  6. Step 6: Final answer
    x = 168,009.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.