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Finding the Third Proportional to 48,696.75 and 72,851.63

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Solution

The third proportional to 48,696.75 and 72,851.63 is: 108,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696.75 : 72,851.63 = 72,851.63 : x
  2. Step 2: Convert to fraction form
    48,696.75/72,851.63 = 72,851.63/x
  3. Step 3: Cross multiply
    48,696.75x = 72,851.63 × 72,851.63
  4. Step 4: Simplify right side
    48,696.75x = 5,307,359,265.14
  5. Step 5: Solve for x
    x = 5,307,359,265.14/48,696.75
  6. Step 6: Final answer
    x = 108,987.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.