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Finding the Third Proportional to 32,483 and 70,834

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Solution

The third proportional to 32,483 and 70,834 is: 154,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483 : 70,834 = 70,834 : x
  2. Step 2: Convert to fraction form
    32,483/70,834 = 70,834/x
  3. Step 3: Cross multiply
    32,483x = 70,834 × 70,834
  4. Step 4: Simplify right side
    32,483x = 5,017,455,556
  5. Step 5: Solve for x
    x = 5,017,455,556/32,483
  6. Step 6: Final answer
    x = 154,464.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.