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Finding the Third Proportional to 30,652.17 and 74,118.80

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Solution

The third proportional to 30,652.17 and 74,118.80 is: 179,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.17 : 74,118.80 = 74,118.80 : x
  2. Step 2: Convert to fraction form
    30,652.17/74,118.80 = 74,118.80/x
  3. Step 3: Cross multiply
    30,652.17x = 74,118.80 × 74,118.80
  4. Step 4: Simplify right side
    30,652.17x = 5,493,596,050.20
  5. Step 5: Solve for x
    x = 5,493,596,050.20/30,652.17
  6. Step 6: Final answer
    x = 179,223.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.