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Finding the Third Proportional to 10,923.19 and 15,958.69

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Solution

The third proportional to 10,923.19 and 15,958.69 is: 23,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.19 : 15,958.69 = 15,958.69 : x
  2. Step 2: Convert to fraction form
    10,923.19/15,958.69 = 15,958.69/x
  3. Step 3: Cross multiply
    10,923.19x = 15,958.69 × 15,958.69
  4. Step 4: Simplify right side
    10,923.19x = 254,679,706.72
  5. Step 5: Solve for x
    x = 254,679,706.72/10,923.19
  6. Step 6: Final answer
    x = 23,315.51

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