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Finding the Third Proportional to 14,783 and 21,603

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Solution

The third proportional to 14,783 and 21,603 is: 31,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783 : 21,603 = 21,603 : x
  2. Step 2: Convert to fraction form
    14,783/21,603 = 21,603/x
  3. Step 3: Cross multiply
    14,783x = 21,603 × 21,603
  4. Step 4: Simplify right side
    14,783x = 466,689,609
  5. Step 5: Solve for x
    x = 466,689,609/14,783
  6. Step 6: Final answer
    x = 31,569.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.