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Finding the Third Proportional to 15,223.50 and 23,412.94

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Solution

The third proportional to 15,223.50 and 23,412.94 is: 36,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.50 : 23,412.94 = 23,412.94 : x
  2. Step 2: Convert to fraction form
    15,223.50/23,412.94 = 23,412.94/x
  3. Step 3: Cross multiply
    15,223.50x = 23,412.94 × 23,412.94
  4. Step 4: Simplify right side
    15,223.50x = 548,165,642.38
  5. Step 5: Solve for x
    x = 548,165,642.38/15,223.50
  6. Step 6: Final answer
    x = 36,007.86

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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.