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Finding the Third Proportional to 15,408 and 21,784

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Solution

The third proportional to 15,408 and 21,784 is: 30,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 21,784 = 21,784 : x
  2. Step 2: Convert to fraction form
    15,408/21,784 = 21,784/x
  3. Step 3: Cross multiply
    15,408x = 21,784 × 21,784
  4. Step 4: Simplify right side
    15,408x = 474,542,656
  5. Step 5: Solve for x
    x = 474,542,656/15,408
  6. Step 6: Final answer
    x = 30,798.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.