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Finding the Third Proportional to 27,985.50 and 37,999.13

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Solution

The third proportional to 27,985.50 and 37,999.13 is: 51,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.50 : 37,999.13 = 37,999.13 : x
  2. Step 2: Convert to fraction form
    27,985.50/37,999.13 = 37,999.13/x
  3. Step 3: Cross multiply
    27,985.50x = 37,999.13 × 37,999.13
  4. Step 4: Simplify right side
    27,985.50x = 1,443,933,500.77
  5. Step 5: Solve for x
    x = 1,443,933,500.77/27,985.50
  6. Step 6: Final answer
    x = 51,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.