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Finding the Third Proportional to 19,413 and 25,596

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Solution

The third proportional to 19,413 and 25,596 is: 33,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 25,596 = 25,596 : x
  2. Step 2: Convert to fraction form
    19,413/25,596 = 25,596/x
  3. Step 3: Cross multiply
    19,413x = 25,596 × 25,596
  4. Step 4: Simplify right side
    19,413x = 655,155,216
  5. Step 5: Solve for x
    x = 655,155,216/19,413
  6. Step 6: Final answer
    x = 33,748.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.