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Finding the Third Proportional to 32,452 and 70,416

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Solution

The third proportional to 32,452 and 70,416 is: 152,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452 : 70,416 = 70,416 : x
  2. Step 2: Convert to fraction form
    32,452/70,416 = 70,416/x
  3. Step 3: Cross multiply
    32,452x = 70,416 × 70,416
  4. Step 4: Simplify right side
    32,452x = 4,958,413,056
  5. Step 5: Solve for x
    x = 4,958,413,056/32,452
  6. Step 6: Final answer
    x = 152,792.22

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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.