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Finding the Third Proportional to 27,415.50 and 56,985

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Solution

The third proportional to 27,415.50 and 56,985 is: 118,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.50 : 56,985 = 56,985 : x
  2. Step 2: Convert to fraction form
    27,415.50/56,985 = 56,985/x
  3. Step 3: Cross multiply
    27,415.50x = 56,985 × 56,985
  4. Step 4: Simplify right side
    27,415.50x = 3,247,290,225
  5. Step 5: Solve for x
    x = 3,247,290,225/27,415.50
  6. Step 6: Final answer
    x = 118,447.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.