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Finding the Third Proportional to 34,273.13 and 74,697.19

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Solution

The third proportional to 34,273.13 and 74,697.19 is: 162,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273.13 : 74,697.19 = 74,697.19 : x
  2. Step 2: Convert to fraction form
    34,273.13/74,697.19 = 74,697.19/x
  3. Step 3: Cross multiply
    34,273.13x = 74,697.19 × 74,697.19
  4. Step 4: Simplify right side
    34,273.13x = 5,579,669,820.41
  5. Step 5: Solve for x
    x = 5,579,669,820.41/34,273.13
  6. Step 6: Final answer
    x = 162,800.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.