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Finding the Third Proportional to 15,524 and 31,768

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Solution

The third proportional to 15,524 and 31,768 is: 65,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524 : 31,768 = 31,768 : x
  2. Step 2: Convert to fraction form
    15,524/31,768 = 31,768/x
  3. Step 3: Cross multiply
    15,524x = 31,768 × 31,768
  4. Step 4: Simplify right side
    15,524x = 1,009,205,824
  5. Step 5: Solve for x
    x = 1,009,205,824/15,524
  6. Step 6: Final answer
    x = 65,009.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.