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Finding the Third Proportional to 27,442.50 and 56,179.50

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Solution

The third proportional to 27,442.50 and 56,179.50 is: 115,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.50 : 56,179.50 = 56,179.50 : x
  2. Step 2: Convert to fraction form
    27,442.50/56,179.50 = 56,179.50/x
  3. Step 3: Cross multiply
    27,442.50x = 56,179.50 × 56,179.50
  4. Step 4: Simplify right side
    27,442.50x = 3,156,136,220.25
  5. Step 5: Solve for x
    x = 3,156,136,220.25/27,442.50
  6. Step 6: Final answer
    x = 115,009.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.