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Finding the Third Proportional to 14,603.73 and 21,881.07

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Solution

The third proportional to 14,603.73 and 21,881.07 is: 32,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.73 : 21,881.07 = 21,881.07 : x
  2. Step 2: Convert to fraction form
    14,603.73/21,881.07 = 21,881.07/x
  3. Step 3: Cross multiply
    14,603.73x = 21,881.07 × 21,881.07
  4. Step 4: Simplify right side
    14,603.73x = 478,781,408.97
  5. Step 5: Solve for x
    x = 478,781,408.97/14,603.73
  6. Step 6: Final answer
    x = 32,784.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.