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Finding the Third Proportional to 14,332.89 and 21,078.04

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Solution

The third proportional to 14,332.89 and 21,078.04 is: 30,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.89 : 21,078.04 = 21,078.04 : x
  2. Step 2: Convert to fraction form
    14,332.89/21,078.04 = 21,078.04/x
  3. Step 3: Cross multiply
    14,332.89x = 21,078.04 × 21,078.04
  4. Step 4: Simplify right side
    14,332.89x = 444,283,566.05
  5. Step 5: Solve for x
    x = 444,283,566.05/14,332.89
  6. Step 6: Final answer
    x = 30,997.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.