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Finding the Third Proportional to 12,502.69 and 19,353.94

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Solution

The third proportional to 12,502.69 and 19,353.94 is: 29,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.69 : 19,353.94 = 19,353.94 : x
  2. Step 2: Convert to fraction form
    12,502.69/19,353.94 = 19,353.94/x
  3. Step 3: Cross multiply
    12,502.69x = 19,353.94 × 19,353.94
  4. Step 4: Simplify right side
    12,502.69x = 374,574,896.75
  5. Step 5: Solve for x
    x = 374,574,896.75/12,502.69
  6. Step 6: Final answer
    x = 29,959.55

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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.