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Finding the Third Proportional to 6,502 and 15,229

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Solution

The third proportional to 6,502 and 15,229 is: 35,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 15,229 = 15,229 : x
  2. Step 2: Convert to fraction form
    6,502/15,229 = 15,229/x
  3. Step 3: Cross multiply
    6,502x = 15,229 × 15,229
  4. Step 4: Simplify right side
    6,502x = 231,922,441
  5. Step 5: Solve for x
    x = 231,922,441/6,502
  6. Step 6: Final answer
    x = 35,669.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.