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Finding the Third Proportional to 32,435 and 70,407

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Solution

The third proportional to 32,435 and 70,407 is: 152,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,435 : 70,407 = 70,407 : x
  2. Step 2: Convert to fraction form
    32,435/70,407 = 70,407/x
  3. Step 3: Cross multiply
    32,435x = 70,407 × 70,407
  4. Step 4: Simplify right side
    32,435x = 4,957,145,649
  5. Step 5: Solve for x
    x = 4,957,145,649/32,435
  6. Step 6: Final answer
    x = 152,833.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.