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Finding the Third Proportional to 12,312 and 19,099

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Solution

The third proportional to 12,312 and 19,099 is: 29,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 19,099 = 19,099 : x
  2. Step 2: Convert to fraction form
    12,312/19,099 = 19,099/x
  3. Step 3: Cross multiply
    12,312x = 19,099 × 19,099
  4. Step 4: Simplify right side
    12,312x = 364,771,801
  5. Step 5: Solve for x
    x = 364,771,801/12,312
  6. Step 6: Final answer
    x = 29,627.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.