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Finding the Third Proportional to 15,464.25 and 34,470

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Solution

The third proportional to 15,464.25 and 34,470 is: 76,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464.25 : 34,470 = 34,470 : x
  2. Step 2: Convert to fraction form
    15,464.25/34,470 = 34,470/x
  3. Step 3: Cross multiply
    15,464.25x = 34,470 × 34,470
  4. Step 4: Simplify right side
    15,464.25x = 1,188,180,900
  5. Step 5: Solve for x
    x = 1,188,180,900/15,464.25
  6. Step 6: Final answer
    x = 76,834.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.