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Finding the Third Proportional to 15,970 and 33,594

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Solution

The third proportional to 15,970 and 33,594 is: 70,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970 : 33,594 = 33,594 : x
  2. Step 2: Convert to fraction form
    15,970/33,594 = 33,594/x
  3. Step 3: Cross multiply
    15,970x = 33,594 × 33,594
  4. Step 4: Simplify right side
    15,970x = 1,128,556,836
  5. Step 5: Solve for x
    x = 1,128,556,836/15,970
  6. Step 6: Final answer
    x = 70,667.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.