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Finding the Third Proportional to 27,758.64 and 59,956.14

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Solution

The third proportional to 27,758.64 and 59,956.14 is: 129,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.64 : 59,956.14 = 59,956.14 : x
  2. Step 2: Convert to fraction form
    27,758.64/59,956.14 = 59,956.14/x
  3. Step 3: Cross multiply
    27,758.64x = 59,956.14 × 59,956.14
  4. Step 4: Simplify right side
    27,758.64x = 3,594,738,330.24
  5. Step 5: Solve for x
    x = 3,594,738,330.24/27,758.64
  6. Step 6: Final answer
    x = 129,499.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.