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Finding the Third Proportional to 12,323 and 19,306.25

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Solution

The third proportional to 12,323 and 19,306.25 is: 30,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323 : 19,306.25 = 19,306.25 : x
  2. Step 2: Convert to fraction form
    12,323/19,306.25 = 19,306.25/x
  3. Step 3: Cross multiply
    12,323x = 19,306.25 × 19,306.25
  4. Step 4: Simplify right side
    12,323x = 372,731,289.06
  5. Step 5: Solve for x
    x = 372,731,289.06/12,323
  6. Step 6: Final answer
    x = 30,246.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.