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Finding the Third Proportional to 10,849.69 and 16,389.75

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Solution

The third proportional to 10,849.69 and 16,389.75 is: 24,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.69 : 16,389.75 = 16,389.75 : x
  2. Step 2: Convert to fraction form
    10,849.69/16,389.75 = 16,389.75/x
  3. Step 3: Cross multiply
    10,849.69x = 16,389.75 × 16,389.75
  4. Step 4: Simplify right side
    10,849.69x = 268,623,905.06
  5. Step 5: Solve for x
    x = 268,623,905.06/10,849.69
  6. Step 6: Final answer
    x = 24,758.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.