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Finding the Third Proportional to 34,568 and 74,390.50

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Solution

The third proportional to 34,568 and 74,390.50 is: 160,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568 : 74,390.50 = 74,390.50 : x
  2. Step 2: Convert to fraction form
    34,568/74,390.50 = 74,390.50/x
  3. Step 3: Cross multiply
    34,568x = 74,390.50 × 74,390.50
  4. Step 4: Simplify right side
    34,568x = 5,533,946,490.25
  5. Step 5: Solve for x
    x = 5,533,946,490.25/34,568
  6. Step 6: Final answer
    x = 160,088.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.