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Finding the Third Proportional to 21,614 and 28,413

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Solution

The third proportional to 21,614 and 28,413 is: 37,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 28,413 = 28,413 : x
  2. Step 2: Convert to fraction form
    21,614/28,413 = 28,413/x
  3. Step 3: Cross multiply
    21,614x = 28,413 × 28,413
  4. Step 4: Simplify right side
    21,614x = 807,298,569
  5. Step 5: Solve for x
    x = 807,298,569/21,614
  6. Step 6: Final answer
    x = 37,350.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.