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Finding the Third Proportional to 12,946.50 and 19,413

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Solution

The third proportional to 12,946.50 and 19,413 is: 29,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.50 : 19,413 = 19,413 : x
  2. Step 2: Convert to fraction form
    12,946.50/19,413 = 19,413/x
  3. Step 3: Cross multiply
    12,946.50x = 19,413 × 19,413
  4. Step 4: Simplify right side
    12,946.50x = 376,864,569
  5. Step 5: Solve for x
    x = 376,864,569/12,946.50
  6. Step 6: Final answer
    x = 29,109.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.