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Finding the Third Proportional to 12,549.94 and 19,495.69

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Solution

The third proportional to 12,549.94 and 19,495.69 is: 30,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.94 : 19,495.69 = 19,495.69 : x
  2. Step 2: Convert to fraction form
    12,549.94/19,495.69 = 19,495.69/x
  3. Step 3: Cross multiply
    12,549.94x = 19,495.69 × 19,495.69
  4. Step 4: Simplify right side
    12,549.94x = 380,081,831.10
  5. Step 5: Solve for x
    x = 380,081,831.10/12,549.94
  6. Step 6: Final answer
    x = 30,285.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.