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Finding the Third Proportional to 27,705.50 and 60,028

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Solution

The third proportional to 27,705.50 and 60,028 is: 130,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.50 : 60,028 = 60,028 : x
  2. Step 2: Convert to fraction form
    27,705.50/60,028 = 60,028/x
  3. Step 3: Cross multiply
    27,705.50x = 60,028 × 60,028
  4. Step 4: Simplify right side
    27,705.50x = 3,603,360,784
  5. Step 5: Solve for x
    x = 3,603,360,784/27,705.50
  6. Step 6: Final answer
    x = 130,059.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.