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Finding the Third Proportional to 32,697 and 70,623

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Solution

The third proportional to 32,697 and 70,623 is: 152,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697 : 70,623 = 70,623 : x
  2. Step 2: Convert to fraction form
    32,697/70,623 = 70,623/x
  3. Step 3: Cross multiply
    32,697x = 70,623 × 70,623
  4. Step 4: Simplify right side
    32,697x = 4,987,608,129
  5. Step 5: Solve for x
    x = 4,987,608,129/32,697
  6. Step 6: Final answer
    x = 152,540.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.