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Finding the Third Proportional to 14,319 and 21,413

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Solution

The third proportional to 14,319 and 21,413 is: 32,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319 : 21,413 = 21,413 : x
  2. Step 2: Convert to fraction form
    14,319/21,413 = 21,413/x
  3. Step 3: Cross multiply
    14,319x = 21,413 × 21,413
  4. Step 4: Simplify right side
    14,319x = 458,516,569
  5. Step 5: Solve for x
    x = 458,516,569/14,319
  6. Step 6: Final answer
    x = 32,021.55

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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.