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Finding the Third Proportional to 9,239.63 and 14,223.94

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Solution

The third proportional to 9,239.63 and 14,223.94 is: 21,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.63 : 14,223.94 = 14,223.94 : x
  2. Step 2: Convert to fraction form
    9,239.63/14,223.94 = 14,223.94/x
  3. Step 3: Cross multiply
    9,239.63x = 14,223.94 × 14,223.94
  4. Step 4: Simplify right side
    9,239.63x = 202,320,398.00
  5. Step 5: Solve for x
    x = 202,320,398.00/9,239.63
  6. Step 6: Final answer
    x = 21,897.04

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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.