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Finding the Third Proportional to 27,130.50 and 55,720.50

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Solution

The third proportional to 27,130.50 and 55,720.50 is: 114,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.50 : 55,720.50 = 55,720.50 : x
  2. Step 2: Convert to fraction form
    27,130.50/55,720.50 = 55,720.50/x
  3. Step 3: Cross multiply
    27,130.50x = 55,720.50 × 55,720.50
  4. Step 4: Simplify right side
    27,130.50x = 3,104,774,120.25
  5. Step 5: Solve for x
    x = 3,104,774,120.25/27,130.50
  6. Step 6: Final answer
    x = 114,438.51

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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.