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Finding the Third Proportional to 15,384.94 and 23,716.13

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Solution

The third proportional to 15,384.94 and 23,716.13 is: 36,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 23,716.13 = 23,716.13 : x
  2. Step 2: Convert to fraction form
    15,384.94/23,716.13 = 23,716.13/x
  3. Step 3: Cross multiply
    15,384.94x = 23,716.13 × 23,716.13
  4. Step 4: Simplify right side
    15,384.94x = 562,454,585.02
  5. Step 5: Solve for x
    x = 562,454,585.02/15,384.94
  6. Step 6: Final answer
    x = 36,558.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.