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Finding the Third Proportional to 32,943 and 71,057

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Solution

The third proportional to 32,943 and 71,057 is: 153,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943 : 71,057 = 71,057 : x
  2. Step 2: Convert to fraction form
    32,943/71,057 = 71,057/x
  3. Step 3: Cross multiply
    32,943x = 71,057 × 71,057
  4. Step 4: Simplify right side
    32,943x = 5,049,097,249
  5. Step 5: Solve for x
    x = 5,049,097,249/32,943
  6. Step 6: Final answer
    x = 153,267.68

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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.