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Finding the Third Proportional to 32,341 and 70,693

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Solution

The third proportional to 32,341 and 70,693 is: 154,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,341 : 70,693 = 70,693 : x
  2. Step 2: Convert to fraction form
    32,341/70,693 = 70,693/x
  3. Step 3: Cross multiply
    32,341x = 70,693 × 70,693
  4. Step 4: Simplify right side
    32,341x = 4,997,500,249
  5. Step 5: Solve for x
    x = 4,997,500,249/32,341
  6. Step 6: Final answer
    x = 154,525.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.