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Finding the Third Proportional to 23,967.30 and 35,950.95

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Solution

The third proportional to 23,967.30 and 35,950.95 is: 53,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.30 : 35,950.95 = 35,950.95 : x
  2. Step 2: Convert to fraction form
    23,967.30/35,950.95 = 35,950.95/x
  3. Step 3: Cross multiply
    23,967.30x = 35,950.95 × 35,950.95
  4. Step 4: Simplify right side
    23,967.30x = 1,292,470,679.51
  5. Step 5: Solve for x
    x = 1,292,470,679.51/23,967.30
  6. Step 6: Final answer
    x = 53,926.42

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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.