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Finding the Third Proportional to 32,842 and 48,111

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Solution

The third proportional to 32,842 and 48,111 is: 70,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842 : 48,111 = 48,111 : x
  2. Step 2: Convert to fraction form
    32,842/48,111 = 48,111/x
  3. Step 3: Cross multiply
    32,842x = 48,111 × 48,111
  4. Step 4: Simplify right side
    32,842x = 2,314,668,321
  5. Step 5: Solve for x
    x = 2,314,668,321/32,842
  6. Step 6: Final answer
    x = 70,478.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.