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Finding the Third Proportional to 15,948.75 and 34,668.38

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Solution

The third proportional to 15,948.75 and 34,668.38 is: 75,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.75 : 34,668.38 = 34,668.38 : x
  2. Step 2: Convert to fraction form
    15,948.75/34,668.38 = 34,668.38/x
  3. Step 3: Cross multiply
    15,948.75x = 34,668.38 × 34,668.38
  4. Step 4: Simplify right side
    15,948.75x = 1,201,896,225.14
  5. Step 5: Solve for x
    x = 1,201,896,225.14/15,948.75
  6. Step 6: Final answer
    x = 75,359.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.