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Finding the Third Proportional to 10,931.63 and 16,399.69

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Solution

The third proportional to 10,931.63 and 16,399.69 is: 24,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.63 : 16,399.69 = 16,399.69 : x
  2. Step 2: Convert to fraction form
    10,931.63/16,399.69 = 16,399.69/x
  3. Step 3: Cross multiply
    10,931.63x = 16,399.69 × 16,399.69
  4. Step 4: Simplify right side
    10,931.63x = 268,949,750.10
  5. Step 5: Solve for x
    x = 268,949,750.10/10,931.63
  6. Step 6: Final answer
    x = 24,602.91

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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.