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Finding the Third Proportional to 27,666 and 60,030

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Solution

The third proportional to 27,666 and 60,030 is: 130,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 60,030 = 60,030 : x
  2. Step 2: Convert to fraction form
    27,666/60,030 = 60,030/x
  3. Step 3: Cross multiply
    27,666x = 60,030 × 60,030
  4. Step 4: Simplify right side
    27,666x = 3,603,600,900
  5. Step 5: Solve for x
    x = 3,603,600,900/27,666
  6. Step 6: Final answer
    x = 130,253.77

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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.