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Finding the Third Proportional to 15,470 and 33,964

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Solution

The third proportional to 15,470 and 33,964 is: 74,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470 : 33,964 = 33,964 : x
  2. Step 2: Convert to fraction form
    15,470/33,964 = 33,964/x
  3. Step 3: Cross multiply
    15,470x = 33,964 × 33,964
  4. Step 4: Simplify right side
    15,470x = 1,153,553,296
  5. Step 5: Solve for x
    x = 1,153,553,296/15,470
  6. Step 6: Final answer
    x = 74,567.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.