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Finding the Third Proportional to 12,838.50 and 27,783

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Solution

The third proportional to 12,838.50 and 27,783 is: 60,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.50 : 27,783 = 27,783 : x
  2. Step 2: Convert to fraction form
    12,838.50/27,783 = 27,783/x
  3. Step 3: Cross multiply
    12,838.50x = 27,783 × 27,783
  4. Step 4: Simplify right side
    12,838.50x = 771,895,089
  5. Step 5: Solve for x
    x = 771,895,089/12,838.50
  6. Step 6: Final answer
    x = 60,123.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.