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Finding the Third Proportional to 32,080 and 48,696

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Solution

The third proportional to 32,080 and 48,696 is: 73,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 48,696 = 48,696 : x
  2. Step 2: Convert to fraction form
    32,080/48,696 = 48,696/x
  3. Step 3: Cross multiply
    32,080x = 48,696 × 48,696
  4. Step 4: Simplify right side
    32,080x = 2,371,300,416
  5. Step 5: Solve for x
    x = 2,371,300,416/32,080
  6. Step 6: Final answer
    x = 73,918.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.