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Finding the Third Proportional to 26,569.50 and 58,080

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Solution

The third proportional to 26,569.50 and 58,080 is: 126,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569.50 : 58,080 = 58,080 : x
  2. Step 2: Convert to fraction form
    26,569.50/58,080 = 58,080/x
  3. Step 3: Cross multiply
    26,569.50x = 58,080 × 58,080
  4. Step 4: Simplify right side
    26,569.50x = 3,373,286,400
  5. Step 5: Solve for x
    x = 3,373,286,400/26,569.50
  6. Step 6: Final answer
    x = 126,960.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.