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Finding the Third Proportional to 12,339 and 19,335

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Solution

The third proportional to 12,339 and 19,335 is: 30,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339 : 19,335 = 19,335 : x
  2. Step 2: Convert to fraction form
    12,339/19,335 = 19,335/x
  3. Step 3: Cross multiply
    12,339x = 19,335 × 19,335
  4. Step 4: Simplify right side
    12,339x = 373,842,225
  5. Step 5: Solve for x
    x = 373,842,225/12,339
  6. Step 6: Final answer
    x = 30,297.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.