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Finding the Third Proportional to 15,385 and 33,470

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Solution

The third proportional to 15,385 and 33,470 is: 72,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385 : 33,470 = 33,470 : x
  2. Step 2: Convert to fraction form
    15,385/33,470 = 33,470/x
  3. Step 3: Cross multiply
    15,385x = 33,470 × 33,470
  4. Step 4: Simplify right side
    15,385x = 1,120,240,900
  5. Step 5: Solve for x
    x = 1,120,240,900/15,385
  6. Step 6: Final answer
    x = 72,813.84

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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.